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Simplifying 5x2 + 10x + 5 + -2x = 2 Reorder the terms: 5 + 10x + -2x + 5x2 = 2 Combine like terms: 10x + -2x = 8x 5 + 8x + 5x2 = 2 Solving 5 + 8x + 5x2 = 2 Solving for variable 'x'. Reorder the terms: 5 + -2 + 8x + 5x2 = 2 + -2 Combine like terms: 5 + -2 = 3 3 + 8x + 5x2 = 2 + -2 Combine like terms: 2 + -2 = 0 3 + 8x + 5x2 = 0 Factor a trinomial. (1 + x)(3 + 5x) = 0Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 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 = {-1, -0.6}
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