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Simplifying -4x(2x + 7y + -2) = 0 Reorder the terms: -4x(-2 + 2x + 7y) = 0 (-2 * -4x + 2x * -4x + 7y * -4x) = 0 Reorder the terms: (8x + -28xy + -8x2) = 0 (8x + -28xy + -8x2) = 0 Solving 8x + -28xy + -8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(2 + -7y + -2x) = 0 Ignore the factor 4.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 '(2 + -7y + -2x)' equal to zero and attempt to solve: Simplifying 2 + -7y + -2x = 0 Reorder the terms: 2 + -2x + -7y = 0 Solving 2 + -2x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2x + -2 + -7y = 0 + -2 Reorder the terms: 2 + -2 + -2x + -7y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2x + -7y = 0 + -2 -2x + -7y = 0 + -2 Combine like terms: 0 + -2 = -2 -2x + -7y = -2 Add '7y' to each side of the equation. -2x + -7y + 7y = -2 + 7y Combine like terms: -7y + 7y = 0 -2x + 0 = -2 + 7y -2x = -2 + 7y Divide each side by '-2'. x = 1 + -3.5y Simplifying x = 1 + -3.5ySolution
x = {0, 1 + -3.5y}
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