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Simplifying 50 + -20x + -10x + 4x2 = 126 Combine like terms: -20x + -10x = -30x 50 + -30x + 4x2 = 126 Solving 50 + -30x + 4x2 = 126 Solving for variable 'x'. Reorder the terms: 50 + -126 + -30x + 4x2 = 126 + -126 Combine like terms: 50 + -126 = -76 -76 + -30x + 4x2 = 126 + -126 Combine like terms: 126 + -126 = 0 -76 + -30x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-38 + -15x + 2x2) = 0 Factor a trinomial. 2((-2 + -1x)(19 + -2x)) = 0 Ignore the factor 2.Subproblem 1
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 = -2Subproblem 2
Set the factor '(19 + -2x)' equal to zero and attempt to solve: Simplifying 19 + -2x = 0 Solving 19 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -2x = 0 + -19 -2x = 0 + -19 Combine like terms: 0 + -19 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5Solution
x = {-2, 9.5}
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