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Simplifying 6x2 + -20x = -3x2 + -4x + -7 Reorder the terms: -20x + 6x2 = -3x2 + -4x + -7 Reorder the terms: -20x + 6x2 = -7 + -4x + -3x2 Solving -20x + 6x2 = -7 + -4x + -3x2 Solving for variable 'x'. Reorder the terms: 7 + -20x + 4x + 6x2 + 3x2 = -7 + -4x + -3x2 + 7 + 4x + 3x2 Combine like terms: -20x + 4x = -16x 7 + -16x + 6x2 + 3x2 = -7 + -4x + -3x2 + 7 + 4x + 3x2 Combine like terms: 6x2 + 3x2 = 9x2 7 + -16x + 9x2 = -7 + -4x + -3x2 + 7 + 4x + 3x2 Reorder the terms: 7 + -16x + 9x2 = -7 + 7 + -4x + 4x + -3x2 + 3x2 Combine like terms: -7 + 7 = 0 7 + -16x + 9x2 = 0 + -4x + 4x + -3x2 + 3x2 7 + -16x + 9x2 = -4x + 4x + -3x2 + 3x2 Combine like terms: -4x + 4x = 0 7 + -16x + 9x2 = 0 + -3x2 + 3x2 7 + -16x + 9x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 7 + -16x + 9x2 = 0 Factor a trinomial. (7 + -9x)(1 + -1x) = 0Subproblem 1
Set the factor '(7 + -9x)' equal to zero and attempt to solve: Simplifying 7 + -9x = 0 Solving 7 + -9x = 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 + -9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 0 + -7 -9x = 0 + -7 Combine like terms: 0 + -7 = -7 -9x = -7 Divide each side by '-9'. x = 0.7777777778 Simplifying x = 0.7777777778Subproblem 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 = {0.7777777778, 1}
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