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Simplifying x2(4x2 + -3) + 5x4 = 0 Reorder the terms: x2(-3 + 4x2) + 5x4 = 0 (-3 * x2 + 4x2 * x2) + 5x4 = 0 (-3x2 + 4x4) + 5x4 = 0 Combine like terms: 4x4 + 5x4 = 9x4 -3x2 + 9x4 = 0 Solving -3x2 + 9x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(-1 + 3x2) = 0 Ignore the factor 3.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 '(-1 + 3x2)' equal to zero and attempt to solve: Simplifying -1 + 3x2 = 0 Solving -1 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x2 = 0 + 1 3x2 = 0 + 1 Combine like terms: 0 + 1 = 1 3x2 = 1 Divide each side by '3'. x2 = 0.3333333333 Simplifying x2 = 0.3333333333 Take the square root of each side: x = {-0.577350269, 0.577350269}Solution
x = {0, -0.577350269, 0.577350269}
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