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Simplifying x(69 + -7x) = 2x(3) (69 * x + -7x * x) = 2x(3) (69x + -7x2) = 2x(3) Reorder the terms for easier multiplication: 69x + -7x2 = 2 * 3x Multiply 2 * 3 69x + -7x2 = 6x Solving 69x + -7x2 = 6x Solving for variable 'x'. Reorder the terms: 69x + -6x + -7x2 = 6x + -6x Combine like terms: 69x + -6x = 63x 63x + -7x2 = 6x + -6x Combine like terms: 6x + -6x = 0 63x + -7x2 = 0 Factor out the Greatest Common Factor (GCF), '7x'. 7x(9 + -1x) = 0 Ignore the factor 7.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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {0, 9}
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