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Simplifying x(x2 + 3)(x2 + -49) = 0 Reorder the terms: x(3 + x2)(x2 + -49) = 0 Reorder the terms: x(3 + x2)(-49 + x2) = 0 Multiply (3 + x2) * (-49 + x2) x(3(-49 + x2) + x2(-49 + x2)) = 0 x((-49 * 3 + x2 * 3) + x2(-49 + x2)) = 0 x((-147 + 3x2) + x2(-49 + x2)) = 0 x(-147 + 3x2 + (-49 * x2 + x2 * x2)) = 0 x(-147 + 3x2 + (-49x2 + x4)) = 0 Combine like terms: 3x2 + -49x2 = -46x2 x(-147 + -46x2 + x4) = 0 (-147 * x + -46x2 * x + x4 * x) = 0 (-147x + -46x3 + x5) = 0 Solving -147x + -46x3 + x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-147 + -46x2 + x4) = 0 Factor a trinomial. x((-3 + -1x2)(49 + -1x2)) = 0 Factor a difference between two squares. x((-3 + -1x2)((7 + x)(7 + -1x))) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-3 + -1x2)' equal to zero and attempt to solve: Simplifying -3 + -1x2 = 0 Solving -3 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x2 = 0 + 3 -1x2 = 0 + 3 Combine like terms: 0 + 3 = 3 -1x2 = 3 Divide each side by '-1'. x2 = -3 Simplifying x2 = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 4
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {0, -7, 7}
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