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Simplifying 121x4 + -49x2 = 0 Reorder the terms: -49x2 + 121x4 = 0 Solving -49x2 + 121x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-49 + 121x2) = 0 Factor a difference between two squares. x2((7 + 11x)(-7 + 11x)) = 0Subproblem 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 '(7 + 11x)' equal to zero and attempt to solve: Simplifying 7 + 11x = 0 Solving 7 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 11x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 11x = 0 + -7 11x = 0 + -7 Combine like terms: 0 + -7 = -7 11x = -7 Divide each side by '11'. x = -0.6363636364 Simplifying x = -0.6363636364Subproblem 3
Set the factor '(-7 + 11x)' equal to zero and attempt to solve: Simplifying -7 + 11x = 0 Solving -7 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 11x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 11x = 0 + 7 11x = 0 + 7 Combine like terms: 0 + 7 = 7 11x = 7 Divide each side by '11'. x = 0.6363636364 Simplifying x = 0.6363636364Solution
x = {0, -0.6363636364, 0.6363636364}
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