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Simplifying (-4x3) + 6x = 0 Reorder the terms: 6x + (-4x3) = 0 Solving 6x + (-4x3) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(3 + (-2x2)) = 0 Ignore the factor 2.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 + (-2x2))' equal to zero and attempt to solve: Simplifying 3 + (-2x2) = 0 Solving 3 + (-2x2) = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + (-2x2) = 0 + -3 Combine like terms: 3 + -3 = 0 0 + (-2x2) = 0 + -3 (-2x2) = 0 + -3 Combine like terms: 0 + -3 = -3 (-2x2) = -3 Divide each side by '-2'. x2 = 1.5 Simplifying x2 = 1.5 Take the square root of each side: x = {-1.224744871, 1.224744871}Solution
x = {0, -1.224744871, 1.224744871}
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