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Simplifying 2x2 + -60x + -385 = 415 Reorder the terms: -385 + -60x + 2x2 = 415 Solving -385 + -60x + 2x2 = 415 Solving for variable 'x'. Reorder the terms: -385 + -415 + -60x + 2x2 = 415 + -415 Combine like terms: -385 + -415 = -800 -800 + -60x + 2x2 = 415 + -415 Combine like terms: 415 + -415 = 0 -800 + -60x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-400 + -30x + x2) = 0 Factor a trinomial. 2((-10 + -1x)(40 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = -10Subproblem 2
Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Solution
x = {-10, 40}
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