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Simplifying (15x2)(2x2 + -1) = 0 Remove parenthesis around (15x2) 15x2(2x2 + -1) = 0 Reorder the terms: 15x2(-1 + 2x2) = 0 (-1 * 15x2 + 2x2 * 15x2) = 0 (-15x2 + 30x4) = 0 Solving -15x2 + 30x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '15x2'. 15x2(-1 + 2x2) = 0 Ignore the factor 15.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 + 2x2)' equal to zero and attempt to solve: Simplifying -1 + 2x2 = 0 Solving -1 + 2x2 = 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 + 2x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x2 = 0 + 1 2x2 = 0 + 1 Combine like terms: 0 + 1 = 1 2x2 = 1 Divide each side by '2'. x2 = 0.5 Simplifying x2 = 0.5 Take the square root of each side: x = {-0.707106781, 0.707106781}Solution
x = {0, -0.707106781, 0.707106781}
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