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Simplifying 6x + -2x[9 + -5(x + 7)] = 0 Reorder the terms: 6x + -2x[9 + -5(7 + x)] = 0 6x + -2x[9 + (7 * -5 + x * -5)] = 0 6x + -2x[9 + (-35 + -5x)] = 0 Combine like terms: 9 + -35 = -26 6x + -2x[-26 + -5x] = 0 6x + [-26 * -2x + -5x * -2x] = 0 6x + [52x + 10x2] = 0 Combine like terms: 6x + 52x = 58x 58x + 10x2 = 0 Solving 58x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(29 + 5x) = 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 '(29 + 5x)' equal to zero and attempt to solve: Simplifying 29 + 5x = 0 Solving 29 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 5x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 5x = 0 + -29 5x = 0 + -29 Combine like terms: 0 + -29 = -29 5x = -29 Divide each side by '5'. x = -5.8 Simplifying x = -5.8Solution
x = {0, -5.8}
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