Set it up and solve:
10x² - 64 = 36 + 6x² (then separate like terms)
10x² - 6x² = 36 + 64 (then simplify)
4x² = 100 (then divide by 4 to solve for x²)
x² = 25 (now solve for the square root of 25)
x = 5 (solution)
NOTE
There is another solution: x = -5
When you take square roots, ALWAYS remember to include the possibility that the solution is the negative root.
10x2 - 64 = 36 + 6x2; whence, 4x2 - 100 = 0, x2 = 25, and x = ±5.
If: 10x2-64 = 36+6x2 Then: 4x2-100 = 0 And: (2x-10)(2x+10) = 0 So: x = 5 or x = -5
10x2 - 64 = 36 + 6x2 Combine like terms: 4x2 = 100 Divide both sides by 4: x2 = 25 Take square roots: x = -5 or +5
If the 64 has a minus sign, then the solution is x = +/-5 Simplifying gives 4x squared = 100 ie x squared = 25...
6x2-2x+36 = 5x2+10x 6x2-5x2-2x-10x+36 = 0 x2-12x+36 = 0 (x-6)(x-6) = 0 x = 6 or x = 6 It has two equal roots.
132
72
62
6x^2 +32x +12 -4x -3x^2 -36 = 3x^2 +28x -24 simplified
36 inches plus what?
27 + 9 = 36
first derivative = 6x2 + 6x - 36 factors are (6x + 18)(x - 2)