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Simplifying x4 + -14x2 * 49 = 0 Reorder the terms for easier multiplication: x4 + -14 * 49x2 = 0 Multiply -14 * 49 x4 + -686x2 = 0 Reorder the terms: -686x2 + x4 = 0 Solving -686x2 + x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-686 + x2) = 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 '(-686 + x2)' equal to zero and attempt to solve: Simplifying -686 + x2 = 0 Solving -686 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '686' to each side of the equation. -686 + 686 + x2 = 0 + 686 Combine like terms: -686 + 686 = 0 0 + x2 = 0 + 686 x2 = 0 + 686 Combine like terms: 0 + 686 = 686 x2 = 686 Simplifying x2 = 686 Take the square root of each side: x = {-26.191601707, 26.191601707}Solution
x = {0, -26.191601707, 26.191601707}
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