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Simplifying 1x = 2x2 + -8x + 7 Reorder the terms: 1x = 7 + -8x + 2x2 Solving 1x = 7 + -8x + 2x2 Solving for variable 'x'. Reorder the terms: -7 + 1x + 8x + -2x2 = 7 + -8x + 2x2 + -7 + 8x + -2x2 Combine like terms: 1x + 8x = 9x -7 + 9x + -2x2 = 7 + -8x + 2x2 + -7 + 8x + -2x2 Reorder the terms: -7 + 9x + -2x2 = 7 + -7 + -8x + 8x + 2x2 + -2x2 Combine like terms: 7 + -7 = 0 -7 + 9x + -2x2 = 0 + -8x + 8x + 2x2 + -2x2 -7 + 9x + -2x2 = -8x + 8x + 2x2 + -2x2 Combine like terms: -8x + 8x = 0 -7 + 9x + -2x2 = 0 + 2x2 + -2x2 -7 + 9x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -7 + 9x + -2x2 = 0 Factor a trinomial. (-7 + 2x)(1 + -1x) = 0Subproblem 1
Set the factor '(-7 + 2x)' equal to zero and attempt to solve: Simplifying -7 + 2x = 0 Solving -7 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 0 + 7 2x = 0 + 7 Combine like terms: 0 + 7 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5Subproblem 2
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 = 1Solution
x = {3.5, 1}
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