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Simplifying (5x4) + -1(75x2) = 0 Remove parenthesis around (75x2) (5x4) + -1 * 75x2 = 0 Multiply -1 * 75 (5x4) + -75x2 = 0 Reorder the terms: -75x2 + (5x4) = 0 Solving -75x2 + (5x4) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(-15 + x2) = 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 '(-15 + x2)' equal to zero and attempt to solve: Simplifying -15 + x2 = 0 Solving -15 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x2 = 0 + 15 x2 = 0 + 15 Combine like terms: 0 + 15 = 15 x2 = 15 Simplifying x2 = 15 Take the square root of each side: x = {-3.872983346, 3.872983346}Solution
x = {0, -3.872983346, 3.872983346}
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