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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 = 14x4 -8x2 + 14x4 = 0 Solving -8x2 + 14x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(-4 + 7x2) = 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 + 7x2)' equal to zero and attempt to solve: Simplifying -4 + 7x2 = 0 Solving -4 + 7x2 = 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 + 7x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7x2 = 0 + 4 7x2 = 0 + 4 Combine like terms: 0 + 4 = 4 7x2 = 4 Divide each side by '7'. x2 = 0.5714285714 Simplifying x2 = 0.5714285714 Take the square root of each side: x = {-0.755928946, 0.755928946}Solution
x = {0, -0.755928946, 0.755928946}
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