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Simplifying x4 + -14x2 + 49 = 49 Reorder the terms: 49 + -14x2 + x4 = 49 Add '-49' to each side of the equation. 49 + -14x2 + -49 + x4 = 49 + -49 Reorder the terms: 49 + -49 + -14x2 + x4 = 49 + -49 Combine like terms: 49 + -49 = 0 0 + -14x2 + x4 = 49 + -49 -14x2 + x4 = 49 + -49 Combine like terms: 49 + -49 = 0 -14x2 + x4 = 0 Solving -14x2 + x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-14 + 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 '(-14 + x2)' equal to zero and attempt to solve: Simplifying -14 + x2 = 0 Solving -14 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + x2 = 0 + 14 Combine like terms: -14 + 14 = 0 0 + x2 = 0 + 14 x2 = 0 + 14 Combine like terms: 0 + 14 = 14 x2 = 14 Simplifying x2 = 14 Take the square root of each side: x = {-3.741657387, 3.741657387}Solution
x = {0, -3.741657387, 3.741657387}
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