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Simplifying 2x2 + 2x = 9x2 + -6x + 1 Reorder the terms: 2x + 2x2 = 9x2 + -6x + 1 Reorder the terms: 2x + 2x2 = 1 + -6x + 9x2 Solving 2x + 2x2 = 1 + -6x + 9x2 Solving for variable 'x'. Reorder the terms: -1 + 2x + 6x + 2x2 + -9x2 = 1 + -6x + 9x2 + -1 + 6x + -9x2 Combine like terms: 2x + 6x = 8x -1 + 8x + 2x2 + -9x2 = 1 + -6x + 9x2 + -1 + 6x + -9x2 Combine like terms: 2x2 + -9x2 = -7x2 -1 + 8x + -7x2 = 1 + -6x + 9x2 + -1 + 6x + -9x2 Reorder the terms: -1 + 8x + -7x2 = 1 + -1 + -6x + 6x + 9x2 + -9x2 Combine like terms: 1 + -1 = 0 -1 + 8x + -7x2 = 0 + -6x + 6x + 9x2 + -9x2 -1 + 8x + -7x2 = -6x + 6x + 9x2 + -9x2 Combine like terms: -6x + 6x = 0 -1 + 8x + -7x2 = 0 + 9x2 + -9x2 -1 + 8x + -7x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -1 + 8x + -7x2 = 0 Factor a trinomial. (-1 + x)(1 + -7x) = 0Subproblem 1
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Subproblem 2
Set the factor '(1 + -7x)' equal to zero and attempt to solve: Simplifying 1 + -7x = 0 Solving 1 + -7x = 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 + -7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 0 + -1 -7x = 0 + -1 Combine like terms: 0 + -1 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429Solution
x = {1, 0.1428571429}
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