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Simplifying 3x2 + 5x + -5x2 + -4x + 5 + -2 = 0 Reorder the terms: 5 + -2 + 5x + -4x + 3x2 + -5x2 = 0 Combine like terms: 5 + -2 = 3 3 + 5x + -4x + 3x2 + -5x2 = 0 Combine like terms: 5x + -4x = 1x 3 + 1x + 3x2 + -5x2 = 0 Combine like terms: 3x2 + -5x2 = -2x2 3 + 1x + -2x2 = 0 Solving 3 + 1x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -2x)(1 + x) = 0Subproblem 1
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 = 1.5Subproblem 2
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 = -1Solution
x = {1.5, -1}
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