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Simplifying (-10x4 + -8x)(2x3 + 3) = 0 Reorder the terms: (-8x + -10x4)(2x3 + 3) = 0 Reorder the terms: (-8x + -10x4)(3 + 2x3) = 0 Multiply (-8x + -10x4) * (3 + 2x3) (-8x * (3 + 2x3) + -10x4 * (3 + 2x3)) = 0 ((3 * -8x + 2x3 * -8x) + -10x4 * (3 + 2x3)) = 0 ((-24x + -16x4) + -10x4 * (3 + 2x3)) = 0 (-24x + -16x4 + (3 * -10x4 + 2x3 * -10x4)) = 0 (-24x + -16x4 + (-30x4 + -20x7)) = 0 Combine like terms: -16x4 + -30x4 = -46x4 (-24x + -46x4 + -20x7) = 0 Solving -24x + -46x4 + -20x7 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2x'. -2x(12 + 23x3 + 10x6) = 0 Factor a trinomial. -2x((3 + 2x3)(4 + 5x3)) = 0 Ignore the factor -2.Subproblem 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 + 2x3)' equal to zero and attempt to solve: Simplifying 3 + 2x3 = 0 Solving 3 + 2x3 = 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 + 2x3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x3 = 0 + -3 2x3 = 0 + -3 Combine like terms: 0 + -3 = -3 2x3 = -3 Divide each side by '2'. x3 = -1.5 Simplifying x3 = -1.5 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 '(4 + 5x3)' equal to zero and attempt to solve: Simplifying 4 + 5x3 = 0 Solving 4 + 5x3 = 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 + 5x3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x3 = 0 + -4 5x3 = 0 + -4 Combine like terms: 0 + -4 = -4 5x3 = -4 Divide each side by '5'. x3 = -0.8 Simplifying x3 = -0.8 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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