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Simplifying -4x(3x + -5y2 + 2) = 0 Reorder the terms: -4x(2 + 3x + -5y2) = 0 (2 * -4x + 3x * -4x + -5y2 * -4x) = 0 Reorder the terms: (-8x + 20xy2 + -12x2) = 0 (-8x + 20xy2 + -12x2) = 0 Solving -8x + 20xy2 + -12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-2 + 5y2 + -3x) = 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 + 5y2 + -3x)' equal to zero and attempt to solve: Simplifying -2 + 5y2 + -3x = 0 Reorder the terms: -2 + -3x + 5y2 = 0 Solving -2 + -3x + 5y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3x + 2 + 5y2 = 0 + 2 Reorder the terms: -2 + 2 + -3x + 5y2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x + 5y2 = 0 + 2 -3x + 5y2 = 0 + 2 Combine like terms: 0 + 2 = 2 -3x + 5y2 = 2 Add '-5y2' to each side of the equation. -3x + 5y2 + -5y2 = 2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 -3x + 0 = 2 + -5y2 -3x = 2 + -5y2 Divide each side by '-3'. x = -0.6666666667 + 1.666666667y2 Simplifying x = -0.6666666667 + 1.666666667y2Solution
x = {0, -0.6666666667 + 1.666666667y2}
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