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Simplifying 6x + 7(x + 9) * x = 0 Reorder the terms: 6x + 7(9 + x) * x = 0 Reorder the terms for easier multiplication: 6x + 7x(9 + x) = 0 6x + (9 * 7x + x * 7x) = 0 6x + (63x + 7x2) = 0 Combine like terms: 6x + 63x = 69x 69x + 7x2 = 0 Solving 69x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(69 + 7x) = 0Subproblem 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 '(69 + 7x)' equal to zero and attempt to solve: Simplifying 69 + 7x = 0 Solving 69 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + 7x = 0 + -69 Combine like terms: 69 + -69 = 0 0 + 7x = 0 + -69 7x = 0 + -69 Combine like terms: 0 + -69 = -69 7x = -69 Divide each side by '7'. x = -9.857142857 Simplifying x = -9.857142857Solution
x = {0, -9.857142857}
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