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Simplifying (x + -4)(x + -4)(x + -4) = x3 + -2x2 + -1x + -6 Reorder the terms: (-4 + x)(x + -4)(x + -4) = x3 + -2x2 + -1x + -6 Reorder the terms: (-4 + x)(-4 + x)(x + -4) = x3 + -2x2 + -1x + -6 Reorder the terms: (-4 + x)(-4 + x)(-4 + x) = x3 + -2x2 + -1x + -6 Multiply (-4 + x) * (-4 + x) (-4(-4 + x) + x(-4 + x))(-4 + x) = x3 + -2x2 + -1x + -6 ((-4 * -4 + x * -4) + x(-4 + x))(-4 + x) = x3 + -2x2 + -1x + -6 ((16 + -4x) + x(-4 + x))(-4 + x) = x3 + -2x2 + -1x + -6 (16 + -4x + (-4 * x + x * x))(-4 + x) = x3 + -2x2 + -1x + -6 (16 + -4x + (-4x + x2))(-4 + x) = x3 + -2x2 + -1x + -6 Combine like terms: -4x + -4x = -8x (16 + -8x + x2)(-4 + x) = x3 + -2x2 + -1x + -6 Multiply (16 + -8x + x2) * (-4 + x) (16(-4 + x) + -8x * (-4 + x) + x2(-4 + x)) = x3 + -2x2 + -1x + -6 ((-4 * 16 + x * 16) + -8x * (-4 + x) + x2(-4 + x)) = x3 + -2x2 + -1x + -6 ((-64 + 16x) + -8x * (-4 + x) + x2(-4 + x)) = x3 + -2x2 + -1x + -6 (-64 + 16x + (-4 * -8x + x * -8x) + x2(-4 + x)) = x3 + -2x2 + -1x + -6 (-64 + 16x + (32x + -8x2) + x2(-4 + x)) = x3 + -2x2 + -1x + -6 (-64 + 16x + 32x + -8x2 + (-4 * x2 + x * x2)) = x3 + -2x2 + -1x + -6 (-64 + 16x + 32x + -8x2 + (-4x2 + x3)) = x3 + -2x2 + -1x + -6 Combine like terms: 16x + 32x = 48x (-64 + 48x + -8x2 + -4x2 + x3) = x3 + -2x2 + -1x + -6 Combine like terms: -8x2 + -4x2 = -12x2 (-64 + 48x + -12x2 + x3) = x3 + -2x2 + -1x + -6 Reorder the terms: -64 + 48x + -12x2 + x3 = -6 + -1x + -2x2 + x3 Add '-1x3' to each side of the equation. -64 + 48x + -12x2 + x3 + -1x3 = -6 + -1x + -2x2 + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -64 + 48x + -12x2 + 0 = -6 + -1x + -2x2 + x3 + -1x3 -64 + 48x + -12x2 = -6 + -1x + -2x2 + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -64 + 48x + -12x2 = -6 + -1x + -2x2 + 0 -64 + 48x + -12x2 = -6 + -1x + -2x2 Solving -64 + 48x + -12x2 = -6 + -1x + -2x2 Solving for variable 'x'. Reorder the terms: -64 + 6 + 48x + x + -12x2 + 2x2 = -6 + -1x + -2x2 + 6 + x + 2x2 Combine like terms: -64 + 6 = -58 -58 + 48x + x + -12x2 + 2x2 = -6 + -1x + -2x2 + 6 + x + 2x2 Combine like terms: 48x + x = 49x -58 + 49x + -12x2 + 2x2 = -6 + -1x + -2x2 + 6 + x + 2x2 Combine like terms: -12x2 + 2x2 = -10x2 -58 + 49x + -10x2 = -6 + -1x + -2x2 + 6 + x + 2x2 Reorder the terms: -58 + 49x + -10x2 = -6 + 6 + -1x + x + -2x2 + 2x2 Combine like terms: -6 + 6 = 0 -58 + 49x + -10x2 = 0 + -1x + x + -2x2 + 2x2 -58 + 49x + -10x2 = -1x + x + -2x2 + 2x2 Combine like terms: -1x + x = 0 -58 + 49x + -10x2 = 0 + -2x2 + 2x2 -58 + 49x + -10x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -58 + 49x + -10x2 = 0 Factor a trinomial. (-29 + 10x)(2 + -1x) = 0Subproblem 1
Set the factor '(-29 + 10x)' equal to zero and attempt to solve: Simplifying -29 + 10x = 0 Solving -29 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 10x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 10x = 0 + 29 10x = 0 + 29 Combine like terms: 0 + 29 = 29 10x = 29 Divide each side by '10'. x = 2.9 Simplifying x = 2.9Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {2.9, 2}
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