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Simplifying (5 + -2x)(-1x) + x * x = 0 Remove parenthesis around (-1x) (5 + -2x) * -1x + x * x = 0 Reorder the terms for easier multiplication: -1x(5 + -2x) + x * x = 0 (5 * -1x + -2x * -1x) + x * x = 0 (-5x + 2x2) + x * x = 0 Multiply x * x -5x + 2x2 + x2 = 0 Combine like terms: 2x2 + x2 = 3x2 -5x + 3x2 = 0 Solving -5x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 3x) = 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 '(-5 + 3x)' equal to zero and attempt to solve: Simplifying -5 + 3x = 0 Solving -5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 0 + 5 3x = 0 + 5 Combine like terms: 0 + 5 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {0, 1.666666667}
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