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Simplifying 4x2 + -2x + -20 = 360 Reorder the terms: -20 + -2x + 4x2 = 360 Solving -20 + -2x + 4x2 = 360 Solving for variable 'x'. Reorder the terms: -20 + -360 + -2x + 4x2 = 360 + -360 Combine like terms: -20 + -360 = -380 -380 + -2x + 4x2 = 360 + -360 Combine like terms: 360 + -360 = 0 -380 + -2x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-190 + -1x + 2x2) = 0 Factor a trinomial. 2((-19 + -2x)(10 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = -9.5Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-9.5, 10}
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