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Simplifying 7x(x + 3) = 9x Reorder the terms: 7x(3 + x) = 9x (3 * 7x + x * 7x) = 9x (21x + 7x2) = 9x Solving 21x + 7x2 = 9x Solving for variable 'x'. Reorder the terms: 21x + -9x + 7x2 = 9x + -9x Combine like terms: 21x + -9x = 12x 12x + 7x2 = 9x + -9x Combine like terms: 9x + -9x = 0 12x + 7x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(12 + 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 '(12 + 7x)' equal to zero and attempt to solve: Simplifying 12 + 7x = 0 Solving 12 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 0 + -12 7x = 0 + -12 Combine like terms: 0 + -12 = -12 7x = -12 Divide each side by '7'. x = -1.714285714 Simplifying x = -1.714285714Solution
x = {0, -1.714285714}
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