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Simplifying -5x2 + -225 = -70x Reorder the terms: -225 + -5x2 = -70x Solving -225 + -5x2 = -70x Solving for variable 'x'. Reorder the terms: -225 + 70x + -5x2 = -70x + 70x Combine like terms: -70x + 70x = 0 -225 + 70x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-45 + 14x + -1x2) = 0 Factor a trinomial. 5((-9 + x)(5 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Subproblem 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 = {9, 5}
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