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Simplifying 7x(x + -7) = 2x2 + -50x Reorder the terms: 7x(-7 + x) = 2x2 + -50x (-7 * 7x + x * 7x) = 2x2 + -50x (-49x + 7x2) = 2x2 + -50x Reorder the terms: -49x + 7x2 = -50x + 2x2 Solving -49x + 7x2 = -50x + 2x2 Solving for variable 'x'. Reorder the terms: -49x + 50x + 7x2 + -2x2 = -50x + 2x2 + 50x + -2x2 Combine like terms: -49x + 50x = 1x 1x + 7x2 + -2x2 = -50x + 2x2 + 50x + -2x2 Combine like terms: 7x2 + -2x2 = 5x2 1x + 5x2 = -50x + 2x2 + 50x + -2x2 Reorder the terms: 1x + 5x2 = -50x + 50x + 2x2 + -2x2 Combine like terms: -50x + 50x = 0 1x + 5x2 = 0 + 2x2 + -2x2 1x + 5x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 1x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + 5x) = 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 '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2Solution
x = {0, -0.2}
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