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Simplifying -100(x2) + -132 + 230(x) = 0 Reorder the terms: -132 + 230x + -100x2 = 0 Solving -132 + 230x + -100x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-66 + 115x + -50x2) = 0 Factor a trinomial. 2((-6 + 5x)(11 + -10x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + 5x)' equal to zero and attempt to solve: Simplifying -6 + 5x = 0 Solving -6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 0 + 6 5x = 0 + 6 Combine like terms: 0 + 6 = 6 5x = 6 Divide each side by '5'. x = 1.2 Simplifying x = 1.2Subproblem 2
Set the factor '(11 + -10x)' equal to zero and attempt to solve: Simplifying 11 + -10x = 0 Solving 11 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -10x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -10x = 0 + -11 -10x = 0 + -11 Combine like terms: 0 + -11 = -11 -10x = -11 Divide each side by '-10'. x = 1.1 Simplifying x = 1.1Solution
x = {1.2, 1.1}
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