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Simplifying x(2x + -13) + -7 = -7 Reorder the terms: x(-13 + 2x) + -7 = -7 (-13 * x + 2x * x) + -7 = -7 (-13x + 2x2) + -7 = -7 Reorder the terms: -7 + -13x + 2x2 = -7 Add '7' to each side of the equation. -7 + -13x + 7 + 2x2 = -7 + 7 Reorder the terms: -7 + 7 + -13x + 2x2 = -7 + 7 Combine like terms: -7 + 7 = 0 0 + -13x + 2x2 = -7 + 7 -13x + 2x2 = -7 + 7 Combine like terms: -7 + 7 = 0 -13x + 2x2 = 0 Solving -13x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-13 + 2x) = 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 '(-13 + 2x)' equal to zero and attempt to solve: Simplifying -13 + 2x = 0 Solving -13 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 2x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 0 + 13 2x = 0 + 13 Combine like terms: 0 + 13 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5Solution
x = {0, 6.5}
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