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Greatest Common Factor: 6
Biggest number going into both terms
6, left bracket, 3, x, plus, 2, right bracket
6(3x+2)
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9x2 - 18x plus 9?
if this is the Equation 9X^2 - 18X +9 = Zero 9(X^2 - 2X +1)= Zero divide both side on 9 the result will be X^2 - 2X = -1 X(X - 2) = -1 and so X= -1 ............. or X-2 = -1 and so X = 1 the result is the value of x are between {-1,1}.
X minus 3X minus 6 divided 6 equals 3X plus 2 divided by 3?
(x - 3x - 6) / 6 = (3x + 2) / 2 ∴2(3x + 2) = 6(3x + 2) ∴6x + 4 = 18x = 12 ∴12x = -8 ∴x = -2/3
Solve 27y plus 18x equals 21?
This can be interpreted as a line in 2d space. There are an infinite number of solutions. More than likely your real question is: "How can 27y + 18x = 21 be written in standard slope-intercept form?"Same as 9y + 6x = 7 (divide both sides by 3).Solve for y:9y = 7 - 6xy = (7 - 6x) / 9, ory = (-2/3)x + 7/9We now have an eaquation of a line: slope = -2/3, y-intercept = 7/9Paste -2/3x + 7/9 into the calculator at http://www.coolmath.com/graphit/and click "Eval" to visualize it.
Find the stationary points of this function f x -x 3 plus 9x 2-15x-10?
f(x) = -x3 + 9x2 - 15x - 10 => df/dx = -3x2 + 18x - 15 = -3*(x - 1)*(x - 5) df/dx = 0 => x = 1 or x = 5 So, the stationary points are x = 1 and x = 5
What is x plus y to the second power plus z to the second power?
(x+y)^2+z^2=x^2+y^2+z^2+2xy or ((x+y)^2+z)^2= (x^2+y^2+2xy+z)^2= x^4+y^4+z^2+6x^2y^2+4x^3y+2x^2z^2+4xy^3+4xyz^2+2z^2y^2
