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Simplifying (4x) * x + 23x + 120 + -3x + (6x) * x = 360 Remove parenthesis around (4x) 4x * x + 23x + 120 + -3x + (6x) * x = 360 Multiply x * x 4x2 + 23x + 120 + -3x + (6x) * x = 360 Remove parenthesis around (6x) 4x2 + 23x + 120 + -3x + 6x * x = 360 Multiply x * x 4x2 + 23x + 120 + -3x + 6x2 = 360 Reorder the terms: 120 + 23x + -3x + 4x2 + 6x2 = 360 Combine like terms: 23x + -3x = 20x 120 + 20x + 4x2 + 6x2 = 360 Combine like terms: 4x2 + 6x2 = 10x2 120 + 20x + 10x2 = 360 Solving 120 + 20x + 10x2 = 360 Solving for variable 'x'. Reorder the terms: 120 + -360 + 20x + 10x2 = 360 + -360 Combine like terms: 120 + -360 = -240 -240 + 20x + 10x2 = 360 + -360 Combine like terms: 360 + -360 = 0 -240 + 20x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-24 + 2x + x2) = 0 Factor a trinomial. 10((-6 + -1x)(4 + -1x)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 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 = 4Solution
x = {-6, 4}
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