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Simplifying 5x2 + -5x = 4x + -5x2 + -2 Reorder the terms: -5x + 5x2 = 4x + -5x2 + -2 Reorder the terms: -5x + 5x2 = -2 + 4x + -5x2 Solving -5x + 5x2 = -2 + 4x + -5x2 Solving for variable 'x'. Reorder the terms: 2 + -5x + -4x + 5x2 + 5x2 = -2 + 4x + -5x2 + 2 + -4x + 5x2 Combine like terms: -5x + -4x = -9x 2 + -9x + 5x2 + 5x2 = -2 + 4x + -5x2 + 2 + -4x + 5x2 Combine like terms: 5x2 + 5x2 = 10x2 2 + -9x + 10x2 = -2 + 4x + -5x2 + 2 + -4x + 5x2 Reorder the terms: 2 + -9x + 10x2 = -2 + 2 + 4x + -4x + -5x2 + 5x2 Combine like terms: -2 + 2 = 0 2 + -9x + 10x2 = 0 + 4x + -4x + -5x2 + 5x2 2 + -9x + 10x2 = 4x + -4x + -5x2 + 5x2 Combine like terms: 4x + -4x = 0 2 + -9x + 10x2 = 0 + -5x2 + 5x2 2 + -9x + 10x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 2 + -9x + 10x2 = 0 Factor a trinomial. (2 + -5x)(1 + -2x) = 0Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {0.4, 0.5}
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