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Simplifying x2 + -2(3 + -2x) = -1x(5 + -1x) x2 + (3 * -2 + -2x * -2) = -1x(5 + -1x) x2 + (-6 + 4x) = -1x(5 + -1x) Reorder the terms: -6 + 4x + x2 = -1x(5 + -1x) -6 + 4x + x2 = (5 * -1x + -1x * -1x) -6 + 4x + x2 = (-5x + 1x2) Solving -6 + 4x + x2 = -5x + 1x2 Solving for variable 'x'. Reorder the terms: -6 + 4x + 5x + x2 + -1x2 = -5x + 1x2 + 5x + -1x2 Combine like terms: 4x + 5x = 9x -6 + 9x + x2 + -1x2 = -5x + 1x2 + 5x + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 9x + 0 = -5x + 1x2 + 5x + -1x2 -6 + 9x = -5x + 1x2 + 5x + -1x2 Reorder the terms: -6 + 9x = -5x + 5x + 1x2 + -1x2 Combine like terms: -5x + 5x = 0 -6 + 9x = 0 + 1x2 + -1x2 -6 + 9x = 1x2 + -1x2 Combine like terms: 1x2 + -1x2 = 0 -6 + 9x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + 3x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + 3x)' equal to zero and attempt to solve: Simplifying -2 + 3x = 0 Solving -2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {0.6666666667}
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