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Simplifying 6(x * x) + -8x = x(6(x * x) + -8) Multiply x * x 6(x2) + -8x = x(6(x * x) + -8) Reorder the terms: -8x + 6x2 = x(6(x * x) + -8) Multiply x * x -8x + 6x2 = x(6(x2) + -8) Reorder the terms: -8x + 6x2 = x(-8 + 6x2) -8x + 6x2 = (-8 * x + 6x2 * x) -8x + 6x2 = (-8x + 6x3) Add '8x' to each side of the equation. -8x + 8x + 6x2 = -8x + 8x + 6x3 Combine like terms: -8x + 8x = 0 0 + 6x2 = -8x + 8x + 6x3 6x2 = -8x + 8x + 6x3 Combine like terms: -8x + 8x = 0 6x2 = 0 + 6x3 6x2 = 6x3 Solving 6x2 = 6x3 Solving for variable 'x'. Combine like terms: 6x3 + -6x3 = 0 6x2 + -6x3 = 0 Factor out the Greatest Common Factor (GCF), '6x2'. 6x2(1 + -1x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, 1}
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