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Simplifying 10x2 + 18x + -616 = 0 Reorder the terms: -616 + 18x + 10x2 = 0 Solving -616 + 18x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-308 + 9x + 5x2) = 0 Factor a trinomial. 2((-44 + -5x)(7 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-44 + -5x)' equal to zero and attempt to solve: Simplifying -44 + -5x = 0 Solving -44 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -5x = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -5x = 0 + 44 -5x = 0 + 44 Combine like terms: 0 + 44 = 44 -5x = 44 Divide each side by '-5'. x = -8.8 Simplifying x = -8.8Subproblem 2
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 = 7Solution
x = {-8.8, 7}
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