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Simplifying x2 + -7x + 1 = -2x + -3 Reorder the terms: 1 + -7x + x2 = -2x + -3 Reorder the terms: 1 + -7x + x2 = -3 + -2x Solving 1 + -7x + x2 = -3 + -2x Solving for variable 'x'. Reorder the terms: 1 + 3 + -7x + 2x + x2 = -3 + -2x + 3 + 2x Combine like terms: 1 + 3 = 4 4 + -7x + 2x + x2 = -3 + -2x + 3 + 2x Combine like terms: -7x + 2x = -5x 4 + -5x + x2 = -3 + -2x + 3 + 2x Reorder the terms: 4 + -5x + x2 = -3 + 3 + -2x + 2x Combine like terms: -3 + 3 = 0 4 + -5x + x2 = 0 + -2x + 2x 4 + -5x + x2 = -2x + 2x Combine like terms: -2x + 2x = 0 4 + -5x + x2 = 0 Factor a trinomial. (1 + -1x)(4 + -1x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {1, 4}
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