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Simplifying 0 = (5x4) + -1(15x2) Remove parenthesis around (15x2) 0 = (5x4) + -1 * 15x2 Multiply -1 * 15 0 = (5x4) + -15x2 Reorder the terms: 0 = -15x2 + (5x4) Solving 0 = -15x2 + (5x4) Solving for variable 'x'. Remove the zero: 15x2 + (-5x4) = -15x2 + (5x4) + 15x2 + (-5x4) Reorder the terms: 15x2 + (-5x4) = -15x2 + 15x2 + (5x4) + (-5x4) Combine like terms: -15x2 + 15x2 = 0 15x2 + (-5x4) = 0 + (5x4) + (-5x4) 15x2 + (-5x4) = (5x4) + (-5x4) Combine like terms: (5x4) + (-5x4) = 0 15x2 + (-5x4) = 0 Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(3 + (-1x2)) = 0 Ignore the factor 5.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 '(3 + (-1x2))' equal to zero and attempt to solve: Simplifying 3 + (-1x2) = 0 Solving 3 + (-1x2) = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + (-1x2) = 0 + -3 Combine like terms: 3 + -3 = 0 0 + (-1x2) = 0 + -3 (-1x2) = 0 + -3 Combine like terms: 0 + -3 = -3 (-1x2) = -3 Divide each side by '-1'. x2 = 3 Simplifying x2 = 3 Take the square root of each side: x = {-1.732050808, 1.732050808}Solution
x = {0, -1.732050808, 1.732050808}
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