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Simplifying 5x2 + 28x + 13 = -2 Reorder the terms: 13 + 28x + 5x2 = -2 Solving 13 + 28x + 5x2 = -2 Solving for variable 'x'. Reorder the terms: 13 + 2 + 28x + 5x2 = -2 + 2 Combine like terms: 13 + 2 = 15 15 + 28x + 5x2 = -2 + 2 Combine like terms: -2 + 2 = 0 15 + 28x + 5x2 = 0 Factor a trinomial. (5 + x)(3 + 5x) = 0Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Solution
x = {-5, -0.6}
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