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Simplifying (5x2) + -10x = 4x + 3 Reorder the terms: -10x + (5x2) = 4x + 3 Reorder the terms: -10x + (5x2) = 3 + 4x Solving -10x + (5x2) = 3 + 4x Solving for variable 'x'. Reorder the terms: -3 + -10x + -4x + (5x2) = 3 + 4x + -3 + -4x Combine like terms: -10x + -4x = -14x -3 + -14x + (5x2) = 3 + 4x + -3 + -4x Reorder the terms: -3 + -14x + (5x2) = 3 + -3 + 4x + -4x Combine like terms: 3 + -3 = 0 -3 + -14x + (5x2) = 0 + 4x + -4x -3 + -14x + (5x2) = 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -14x + (5x2) = 0 Factor a trinomial. (-1 + -5x)(3 + -1x) = 0Subproblem 1
Set the factor '(-1 + -5x)' equal to zero and attempt to solve: Simplifying -1 + -5x = 0 Solving -1 + -5x = 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 + -5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 0 + 1 -5x = 0 + 1 Combine like terms: 0 + 1 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-0.2, 3}
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