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Simplifying 2x2 + 3x = 70 + -1x Reorder the terms: 3x + 2x2 = 70 + -1x Solving 3x + 2x2 = 70 + -1x Solving for variable 'x'. Reorder the terms: -70 + 3x + x + 2x2 = 70 + -1x + -70 + x Combine like terms: 3x + x = 4x -70 + 4x + 2x2 = 70 + -1x + -70 + x Reorder the terms: -70 + 4x + 2x2 = 70 + -70 + -1x + x Combine like terms: 70 + -70 = 0 -70 + 4x + 2x2 = 0 + -1x + x -70 + 4x + 2x2 = -1x + x Combine like terms: -1x + x = 0 -70 + 4x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-35 + 2x + x2) = 0 Factor a trinomial. 2((-7 + -1x)(5 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-7, 5}
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