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Simplifying x(x(x) + (2x(78) * x)) = x Multiply x * x x(x2 + (2x(78) * x)) = x Reorder the terms for easier multiplication: x(x2 + (2 * 78x * x)) = x Multiply 2 * 78 x(x2 + (156x * x)) = x Multiply x * x x(x2 + (156x2)) = x Combine like terms: x2 + (156x2) = 157x2 x(157x2) = x Remove parenthesis around (157x2) x * 157x2 = x Reorder the terms for easier multiplication: 157x * x2 = x Multiply x * x2 157x3 = x Solving 157x3 = x Solving for variable 'x'. Reorder the terms: -1x + 157x3 = x + -1x Combine like terms: x + -1x = 0 -1x + 157x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + 157x2) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1 + 157x2)' equal to zero and attempt to solve: Simplifying -1 + 157x2 = 0 Solving -1 + 157x2 = 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 + 157x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 157x2 = 0 + 1 157x2 = 0 + 1 Combine like terms: 0 + 1 = 1 157x2 = 1 Divide each side by '157'. x2 = 0.006369426752 Simplifying x2 = 0.006369426752 Take the square root of each side: x = {-0.079808688, 0.079808688}Solution
x = {0, -0.079808688, 0.079808688}
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