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Simplifying (8x5 + 3)(8x5 + -2) = 0 Reorder the terms: (3 + 8x5)(8x5 + -2) = 0 Reorder the terms: (3 + 8x5)(-2 + 8x5) = 0 Multiply (3 + 8x5) * (-2 + 8x5) (3(-2 + 8x5) + 8x5 * (-2 + 8x5)) = 0 ((-2 * 3 + 8x5 * 3) + 8x5 * (-2 + 8x5)) = 0 ((-6 + 24x5) + 8x5 * (-2 + 8x5)) = 0 (-6 + 24x5 + (-2 * 8x5 + 8x5 * 8x5)) = 0 (-6 + 24x5 + (-16x5 + 64x10)) = 0 Combine like terms: 24x5 + -16x5 = 8x5 (-6 + 8x5 + 64x10) = 0 Solving -6 + 8x5 + 64x10 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 4x5 + 32x10) = 0 Factor a trinomial. 2((-3 + -8x5)(1 + -4x5)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -8x5)' equal to zero and attempt to solve: Simplifying -3 + -8x5 = 0 Solving -3 + -8x5 = 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 + -8x5 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8x5 = 0 + 3 -8x5 = 0 + 3 Combine like terms: 0 + 3 = 3 -8x5 = 3 Divide each side by '-8'. x5 = -0.375 Simplifying x5 = -0.375 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 + -4x5)' equal to zero and attempt to solve: Simplifying 1 + -4x5 = 0 Solving 1 + -4x5 = 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 + -4x5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x5 = 0 + -1 -4x5 = 0 + -1 Combine like terms: 0 + -1 = -1 -4x5 = -1 Divide each side by '-4'. x5 = 0.25 Simplifying x5 = 0.25 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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