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Simplifying 2x2(-5x2 + -4) + 4x4 = 0 Reorder the terms: 2x2(-4 + -5x2) + 4x4 = 0 (-4 * 2x2 + -5x2 * 2x2) + 4x4 = 0 (-8x2 + -10x4) + 4x4 = 0 Combine like terms: -10x4 + 4x4 = -6x4 -8x2 + -6x4 = 0 Solving -8x2 + -6x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2x2'. -2x2(4 + 3x2) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(4 + 3x2)' equal to zero and attempt to solve: Simplifying 4 + 3x2 = 0 Solving 4 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x2 = 0 + -4 3x2 = 0 + -4 Combine like terms: 0 + -4 = -4 3x2 = -4 Divide each side by '3'. x2 = -1.333333333 Simplifying x2 = -1.333333333 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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