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Simplifying x = (7x)(9x + -7) Remove parenthesis around (7x) x = 7x(9x + -7) Reorder the terms: x = 7x(-7 + 9x) x = (-7 * 7x + 9x * 7x) x = (-49x + 63x2) Solving x = -49x + 63x2 Solving for variable 'x'. Combine like terms: x + 49x = 50x 50x + -63x2 = -49x + 63x2 + 49x + -63x2 Reorder the terms: 50x + -63x2 = -49x + 49x + 63x2 + -63x2 Combine like terms: -49x + 49x = 0 50x + -63x2 = 0 + 63x2 + -63x2 50x + -63x2 = 63x2 + -63x2 Combine like terms: 63x2 + -63x2 = 0 50x + -63x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(50 + -63x) = 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 '(50 + -63x)' equal to zero and attempt to solve: Simplifying 50 + -63x = 0 Solving 50 + -63x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -63x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -63x = 0 + -50 -63x = 0 + -50 Combine like terms: 0 + -50 = -50 -63x = -50 Divide each side by '-63'. x = 0.7936507937 Simplifying x = 0.7936507937Solution
x = {0, 0.7936507937}
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