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Simplifying 3x2 + -7x + 1 = x2 + -2x + 4 Reorder the terms: 1 + -7x + 3x2 = x2 + -2x + 4 Reorder the terms: 1 + -7x + 3x2 = 4 + -2x + x2 Solving 1 + -7x + 3x2 = 4 + -2x + x2 Solving for variable 'x'. Reorder the terms: 1 + -4 + -7x + 2x + 3x2 + -1x2 = 4 + -2x + x2 + -4 + 2x + -1x2 Combine like terms: 1 + -4 = -3 -3 + -7x + 2x + 3x2 + -1x2 = 4 + -2x + x2 + -4 + 2x + -1x2 Combine like terms: -7x + 2x = -5x -3 + -5x + 3x2 + -1x2 = 4 + -2x + x2 + -4 + 2x + -1x2 Combine like terms: 3x2 + -1x2 = 2x2 -3 + -5x + 2x2 = 4 + -2x + x2 + -4 + 2x + -1x2 Reorder the terms: -3 + -5x + 2x2 = 4 + -4 + -2x + 2x + x2 + -1x2 Combine like terms: 4 + -4 = 0 -3 + -5x + 2x2 = 0 + -2x + 2x + x2 + -1x2 -3 + -5x + 2x2 = -2x + 2x + x2 + -1x2 Combine like terms: -2x + 2x = 0 -3 + -5x + 2x2 = 0 + x2 + -1x2 -3 + -5x + 2x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + -5x + 2x2 = 0 Factor a trinomial. (-1 + -2x)(3 + -1x) = 0Subproblem 1
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 = -0.5Subproblem 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 = {-0.5, 3}
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