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Simplifying 4x5(3 + -2x2) = 0 (3 * 4x5 + -2x2 * 4x5) = 0 (12x5 + -8x7) = 0 Solving 12x5 + -8x7 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x5'. 4x5(3 + -2x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x5' equal to zero and attempt to solve: Simplifying x5 = 0 Solving x5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 = {-1.224744871, 1.224744871}
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