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Simplifying 10x2 + -89x + 156 = 0 Reorder the terms: 156 + -89x + 10x2 = 0 Solving 156 + -89x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (12 + -5x)(13 + -2x) = 0Subproblem 1
Set the factor '(12 + -5x)' equal to zero and attempt to solve: Simplifying 12 + -5x = 0 Solving 12 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 0 + -12 -5x = 0 + -12 Combine like terms: 0 + -12 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4Subproblem 2
Set the factor '(13 + -2x)' equal to zero and attempt to solve: Simplifying 13 + -2x = 0 Solving 13 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 0 + -13 -2x = 0 + -13 Combine like terms: 0 + -13 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5Solution
x = {2.4, 6.5}
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