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Simplifying 10x4 + 10x3 = 120x2 Reorder the terms: 10x3 + 10x4 = 120x2 Solving 10x3 + 10x4 = 120x2 Solving for variable 'x'. Reorder the terms: -120x2 + 10x3 + 10x4 = 120x2 + -120x2 Combine like terms: 120x2 + -120x2 = 0 -120x2 + 10x3 + 10x4 = 0 Factor out the Greatest Common Factor (GCF), '10x2'. 10x2(-12 + x + x2) = 0 Factor a trinomial. 10x2((-4 + -1x)(3 + -1x)) = 0 Ignore the factor 10.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 '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 3
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0, -4, 3}
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