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Simplifying (-1x2 + -4)(2x2 + 10) = 0 Reorder the terms: (-4 + -1x2)(2x2 + 10) = 0 Reorder the terms: (-4 + -1x2)(10 + 2x2) = 0 Multiply (-4 + -1x2) * (10 + 2x2) (-4(10 + 2x2) + -1x2 * (10 + 2x2)) = 0 ((10 * -4 + 2x2 * -4) + -1x2 * (10 + 2x2)) = 0 ((-40 + -8x2) + -1x2 * (10 + 2x2)) = 0 (-40 + -8x2 + (10 * -1x2 + 2x2 * -1x2)) = 0 (-40 + -8x2 + (-10x2 + -2x4)) = 0 Combine like terms: -8x2 + -10x2 = -18x2 (-40 + -18x2 + -2x4) = 0 Solving -40 + -18x2 + -2x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2'. -2(20 + 9x2 + x4) = 0 Factor a trinomial. -2((5 + x2)(4 + x2)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(5 + x2)' equal to zero and attempt to solve: Simplifying 5 + x2 = 0 Solving 5 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x2 = 0 + -5 x2 = 0 + -5 Combine like terms: 0 + -5 = -5 x2 = -5 Simplifying x2 = -5 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 '(4 + x2)' equal to zero and attempt to solve: Simplifying 4 + x2 = 0 Solving 4 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x2 = 0 + -4 x2 = 0 + -4 Combine like terms: 0 + -4 = -4 x2 = -4 Simplifying x2 = -4 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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