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Simplifying (5x + 4)(x + 3) = 0 Reorder the terms: (4 + 5x)(x + 3) = 0 Reorder the terms: (4 + 5x)(3 + x) = 0 Multiply (4 + 5x) * (3 + x) (4(3 + x) + 5x * (3 + x)) = 0 ((3 * 4 + x * 4) + 5x * (3 + x)) = 0 ((12 + 4x) + 5x * (3 + x)) = 0 (12 + 4x + (3 * 5x + x * 5x)) = 0 (12 + 4x + (15x + 5x2)) = 0 Combine like terms: 4x + 15x = 19x (12 + 19x + 5x2) = 0 Solving 12 + 19x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + x)(4 + 5x) = 0Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
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 = -0.8Solution
x = {-3, -0.8}
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