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Simplifying (2x2 + -9)(-8x4) = 0 Reorder the terms: (-9 + 2x2)(-8x4) = 0 Remove parenthesis around (-8x4) (-9 + 2x2) * -8x4 = 0 Reorder the terms for easier multiplication: -8x4(-9 + 2x2) = 0 (-9 * -8x4 + 2x2 * -8x4) = 0 (72x4 + -16x6) = 0 Solving 72x4 + -16x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x4'. 8x4(9 + -2x2) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 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 '(9 + -2x2)' equal to zero and attempt to solve: Simplifying 9 + -2x2 = 0 Solving 9 + -2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x2 = 0 + -9 -2x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -2x2 = -9 Divide each side by '-2'. x2 = 4.5 Simplifying x2 = 4.5 Take the square root of each side: x = {-2.121320344, 2.121320344}Solution
x = {-2.121320344, 2.121320344}
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