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Simplifying 6x(3x + -1) = 8 + -1(10x + -14) Reorder the terms: 6x(-1 + 3x) = 8 + -1(10x + -14) (-1 * 6x + 3x * 6x) = 8 + -1(10x + -14) (-6x + 18x2) = 8 + -1(10x + -14) Reorder the terms: -6x + 18x2 = 8 + -1(-14 + 10x) -6x + 18x2 = 8 + (-14 * -1 + 10x * -1) -6x + 18x2 = 8 + (14 + -10x) Combine like terms: 8 + 14 = 22 -6x + 18x2 = 22 + -10x Solving -6x + 18x2 = 22 + -10x Solving for variable 'x'. Reorder the terms: -22 + -6x + 10x + 18x2 = 22 + -10x + -22 + 10x Combine like terms: -6x + 10x = 4x -22 + 4x + 18x2 = 22 + -10x + -22 + 10x Reorder the terms: -22 + 4x + 18x2 = 22 + -22 + -10x + 10x Combine like terms: 22 + -22 = 0 -22 + 4x + 18x2 = 0 + -10x + 10x -22 + 4x + 18x2 = -10x + 10x Combine like terms: -10x + 10x = 0 -22 + 4x + 18x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-11 + 2x + 9x2) = 0 Factor a trinomial. 2((-11 + -9x)(1 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-11 + -9x)' equal to zero and attempt to solve: Simplifying -11 + -9x = 0 Solving -11 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -9x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -9x = 0 + 11 -9x = 0 + 11 Combine like terms: 0 + 11 = 11 -9x = 11 Divide each side by '-9'. x = -1.222222222 Simplifying x = -1.222222222Subproblem 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 = {-1.222222222, 1}
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