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Simplifying x2 + 4x = 5x2 + -15 Reorder the terms: 4x + x2 = 5x2 + -15 Reorder the terms: 4x + x2 = -15 + 5x2 Solving 4x + x2 = -15 + 5x2 Solving for variable 'x'. Reorder the terms: 15 + 4x + x2 + -5x2 = -15 + 5x2 + 15 + -5x2 Combine like terms: x2 + -5x2 = -4x2 15 + 4x + -4x2 = -15 + 5x2 + 15 + -5x2 Reorder the terms: 15 + 4x + -4x2 = -15 + 15 + 5x2 + -5x2 Combine like terms: -15 + 15 = 0 15 + 4x + -4x2 = 0 + 5x2 + -5x2 15 + 4x + -4x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 15 + 4x + -4x2 = 0 Factor a trinomial. (5 + -2x)(3 + 2x) = 0Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {2.5, -1.5}
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