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Simplifying (2x + -1)(-7x2) = 0 Reorder the terms: (-1 + 2x)(-7x2) = 0 Remove parenthesis around (-7x2) (-1 + 2x) * -7x2 = 0 Reorder the terms for easier multiplication: -7x2(-1 + 2x) = 0 (-1 * -7x2 + 2x * -7x2) = 0 (7x2 + -14x3) = 0 Solving 7x2 + -14x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x2'. 7x2(1 + -2x) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {0, 0.5}
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