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Simplifying (4x3 + 15)(4x3 + 5) = 0 Reorder the terms: (15 + 4x3)(4x3 + 5) = 0 Reorder the terms: (15 + 4x3)(5 + 4x3) = 0 Multiply (15 + 4x3) * (5 + 4x3) (15(5 + 4x3) + 4x3 * (5 + 4x3)) = 0 ((5 * 15 + 4x3 * 15) + 4x3 * (5 + 4x3)) = 0 ((75 + 60x3) + 4x3 * (5 + 4x3)) = 0 (75 + 60x3 + (5 * 4x3 + 4x3 * 4x3)) = 0 (75 + 60x3 + (20x3 + 16x6)) = 0 Combine like terms: 60x3 + 20x3 = 80x3 (75 + 80x3 + 16x6) = 0 Solving 75 + 80x3 + 16x6 = 0 Solving for variable 'x'. Factor a trinomial. (15 + 4x3)(5 + 4x3) = 0Subproblem 1
Set the factor '(15 + 4x3)' equal to zero and attempt to solve: Simplifying 15 + 4x3 = 0 Solving 15 + 4x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 4x3 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4x3 = 0 + -15 4x3 = 0 + -15 Combine like terms: 0 + -15 = -15 4x3 = -15 Divide each side by '4'. x3 = -3.75 Simplifying x3 = -3.75 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 '(5 + 4x3)' equal to zero and attempt to solve: Simplifying 5 + 4x3 = 0 Solving 5 + 4x3 = 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 + 4x3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x3 = 0 + -5 4x3 = 0 + -5 Combine like terms: 0 + -5 = -5 4x3 = -5 Divide each side by '4'. x3 = -1.25 Simplifying x3 = -1.25 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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