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Simplifying -6x(4x + -7y2 + 3) = 0 Reorder the terms: -6x(3 + 4x + -7y2) = 0 (3 * -6x + 4x * -6x + -7y2 * -6x) = 0 Reorder the terms: (-18x + 42xy2 + -24x2) = 0 (-18x + 42xy2 + -24x2) = 0 Solving -18x + 42xy2 + -24x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(-3 + 7y2 + -4x) = 0 Ignore the factor 6.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 '(-3 + 7y2 + -4x)' equal to zero and attempt to solve: Simplifying -3 + 7y2 + -4x = 0 Reorder the terms: -3 + -4x + 7y2 = 0 Solving -3 + -4x + 7y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -4x + 3 + 7y2 = 0 + 3 Reorder the terms: -3 + 3 + -4x + 7y2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x + 7y2 = 0 + 3 -4x + 7y2 = 0 + 3 Combine like terms: 0 + 3 = 3 -4x + 7y2 = 3 Add '-7y2' to each side of the equation. -4x + 7y2 + -7y2 = 3 + -7y2 Combine like terms: 7y2 + -7y2 = 0 -4x + 0 = 3 + -7y2 -4x = 3 + -7y2 Divide each side by '-4'. x = -0.75 + 1.75y2 Simplifying x = -0.75 + 1.75y2Solution
x = {0, -0.75 + 1.75y2}
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