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Simplifying 100x2 + -60x + 9 = 121 Reorder the terms: 9 + -60x + 100x2 = 121 Solving 9 + -60x + 100x2 = 121 Solving for variable 'x'. Reorder the terms: 9 + -121 + -60x + 100x2 = 121 + -121 Combine like terms: 9 + -121 = -112 -112 + -60x + 100x2 = 121 + -121 Combine like terms: 121 + -121 = 0 -112 + -60x + 100x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-28 + -15x + 25x2) = 0 Factor a trinomial. 4((-4 + -5x)(7 + -5x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve: Simplifying -4 + -5x = 0 Solving -4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 0 + 4 -5x = 0 + 4 Combine like terms: 0 + 4 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8Subproblem 2
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 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 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Solution
x = {-0.8, 1.4}
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