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-4x2 + 5x + 6 = 0
Multiply through by -1: 4x2 - 5x - 6 = 0 (I prefer the leading coefficient to be >0)
4x2 - 8x + 3x - 6 = 0
4x(x - 2) + 3(x - 2) = 0
(x - 2)(4x + 3) = 0
So x - 2 = 0 or 4x + 3 = 0
ie x = 2 or x = -3/4
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∙ 14y ago
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How do you solve 4x2 minus 30x plus 45 by factoring?
The discriminant for the quadratic is b2-4ac = 302 - 4*4*45 = 900 - 720 = 180 Since 180 is not a perfect square, the roots of the equation are irrational and it is far from straightforward to solve such an equation by factoring.
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If you can't factor it easily, use the quadratic formula.
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First you need to solve for y. So write 4x2+y=16 so y=16-4x2 Now write f(x)=16-4x2
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y=4x2+3x+8
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4x2+49x+90 = (4x+9)(x+10) when factored
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There are four solutions to 9x4 plus 27x3 - 4x2 - 12x equals 0. One of the solutions is x = -3.
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