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Simplifying 15x2 = 37x + -20 Reorder the terms: 15x2 = -20 + 37x Solving 15x2 = -20 + 37x Solving for variable 'x'. Reorder the terms: 20 + -37x + 15x2 = -20 + 37x + 20 + -37x Reorder the terms: 20 + -37x + 15x2 = -20 + 20 + 37x + -37x Combine like terms: -20 + 20 = 0 20 + -37x + 15x2 = 0 + 37x + -37x 20 + -37x + 15x2 = 37x + -37x Combine like terms: 37x + -37x = 0 20 + -37x + 15x2 = 0 Factor a trinomial. (4 + -5x)(5 + -3x) = 0Subproblem 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 '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {0.8, 1.666666667}
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