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Simplifying -2x2 + 24x = 70 Reorder the terms: 24x + -2x2 = 70 Solving 24x + -2x2 = 70 Solving for variable 'x'. Reorder the terms: -70 + 24x + -2x2 = 70 + -70 Combine like terms: 70 + -70 = 0 -70 + 24x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-35 + 12x + -1x2) = 0 Factor a trinomial. 2((-7 + x)(5 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 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 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 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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