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Simplifying (5x + 4)(3x + 2) = 0 Reorder the terms: (4 + 5x)(3x + 2) = 0 Reorder the terms: (4 + 5x)(2 + 3x) = 0 Multiply (4 + 5x) * (2 + 3x) (4(2 + 3x) + 5x * (2 + 3x)) = 0 ((2 * 4 + 3x * 4) + 5x * (2 + 3x)) = 0 ((8 + 12x) + 5x * (2 + 3x)) = 0 (8 + 12x + (2 * 5x + 3x * 5x)) = 0 (8 + 12x + (10x + 15x2)) = 0 Combine like terms: 12x + 10x = 22x (8 + 22x + 15x2) = 0 Solving 8 + 22x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + 5x)(2 + 3x) = 0Subproblem 1
Set the factor '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 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 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Subproblem 2
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {-0.8, -0.6666666667}
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