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Simplifying 5x2(5x2) + 5x2(5) + (5)(5x2) + (5)(5) = 0 Remove parenthesis around (5x2) 5x2 * 5x2 + 5x2(5) + (5)(5x2) + (5)(5) = 0 Reorder the terms for easier multiplication: 5 * 5x2 * x2 + 5x2(5) + (5)(5x2) + (5)(5) = 0 Multiply 5 * 5 25x2 * x2 + 5x2(5) + (5)(5x2) + (5)(5) = 0 Multiply x2 * x2 25x4 + 5x2(5) + (5)(5x2) + (5)(5) = 0 Reorder the terms for easier multiplication: 25x4 + 5 * 5x2 + (5)(5x2) + (5)(5) = 0 Multiply 5 * 5 25x4 + 25x2 + (5)(5x2) + (5)(5) = 0 Remove parenthesis around (5x2) 25x4 + 25x2 + 5 * 5x2 + (5)(5) = 0 Multiply 5 * 5 25x4 + 25x2 + 25x2 + (5)(5) = 0 Multiply 5 * 5 25x4 + 25x2 + 25x2 + 25 = 0 Reorder the terms: 25 + 25x2 + 25x2 + 25x4 = 0 Combine like terms: 25x2 + 25x2 = 50x2 25 + 50x2 + 25x4 = 0 Solving 25 + 50x2 + 25x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '25'. 25(1 + 2x2 + x4) = 0 Factor a trinomial. 25((1 + x2)(1 + x2)) = 0 Ignore the factor 25.Subproblem 1
Set the factor '(1 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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