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Simplifying x(6x + -2) + 7(x + 9) = 63 Reorder the terms: x(-2 + 6x) + 7(x + 9) = 63 (-2 * x + 6x * x) + 7(x + 9) = 63 (-2x + 6x2) + 7(x + 9) = 63 Reorder the terms: -2x + 6x2 + 7(9 + x) = 63 -2x + 6x2 + (9 * 7 + x * 7) = 63 -2x + 6x2 + (63 + 7x) = 63 Reorder the terms: 63 + -2x + 7x + 6x2 = 63 Combine like terms: -2x + 7x = 5x 63 + 5x + 6x2 = 63 Add '-63' to each side of the equation. 63 + 5x + -63 + 6x2 = 63 + -63 Reorder the terms: 63 + -63 + 5x + 6x2 = 63 + -63 Combine like terms: 63 + -63 = 0 0 + 5x + 6x2 = 63 + -63 5x + 6x2 = 63 + -63 Combine like terms: 63 + -63 = 0 5x + 6x2 = 0 Solving 5x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(5 + 6x) = 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 '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333Solution
x = {0, -0.8333333333}
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