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Simplifying 0 = 28x2 + -1x + -15 Reorder the terms: 0 = -15 + -1x + 28x2 Solving 0 = -15 + -1x + 28x2 Solving for variable 'x'. Combine like terms: 0 + 15 = 15 15 + x + -28x2 = -15 + -1x + 28x2 + 15 + x + -28x2 Reorder the terms: 15 + x + -28x2 = -15 + 15 + -1x + x + 28x2 + -28x2 Combine like terms: -15 + 15 = 0 15 + x + -28x2 = 0 + -1x + x + 28x2 + -28x2 15 + x + -28x2 = -1x + x + 28x2 + -28x2 Combine like terms: -1x + x = 0 15 + x + -28x2 = 0 + 28x2 + -28x2 15 + x + -28x2 = 28x2 + -28x2 Combine like terms: 28x2 + -28x2 = 0 15 + x + -28x2 = 0 Factor a trinomial. (3 + -4x)(5 + 7x) = 0Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Subproblem 2
Set the factor '(5 + 7x)' equal to zero and attempt to solve: Simplifying 5 + 7x = 0 Solving 5 + 7x = 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 + 7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 0 + -5 7x = 0 + -5 Combine like terms: 0 + -5 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143Solution
x = {0.75, -0.7142857143}
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