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Simplifying x + -1(5 + 3x) + -6x(6 + x) = -5 x + (5 * -1 + 3x * -1) + -6x(6 + x) = -5 x + (-5 + -3x) + -6x(6 + x) = -5 x + -5 + -3x + (6 * -6x + x * -6x) = -5 x + -5 + -3x + (-36x + -6x2) = -5 Reorder the terms: -5 + x + -3x + -36x + -6x2 = -5 Combine like terms: x + -3x = -2x -5 + -2x + -36x + -6x2 = -5 Combine like terms: -2x + -36x = -38x -5 + -38x + -6x2 = -5 Add '5' to each side of the equation. -5 + -38x + 5 + -6x2 = -5 + 5 Reorder the terms: -5 + 5 + -38x + -6x2 = -5 + 5 Combine like terms: -5 + 5 = 0 0 + -38x + -6x2 = -5 + 5 -38x + -6x2 = -5 + 5 Combine like terms: -5 + 5 = 0 -38x + -6x2 = 0 Solving -38x + -6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2x'. -2x(19 + 3x) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(19 + 3x)' equal to zero and attempt to solve: Simplifying 19 + 3x = 0 Solving 19 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 3x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 0 + -19 3x = 0 + -19 Combine like terms: 0 + -19 = -19 3x = -19 Divide each side by '3'. x = -6.333333333 Simplifying x = -6.333333333Solution
x = {0, -6.333333333}
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