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Simplifying (4x + 5)(5x + 6) = 0 Reorder the terms: (5 + 4x)(5x + 6) = 0 Reorder the terms: (5 + 4x)(6 + 5x) = 0 Multiply (5 + 4x) * (6 + 5x) (5(6 + 5x) + 4x * (6 + 5x)) = 0 ((6 * 5 + 5x * 5) + 4x * (6 + 5x)) = 0 ((30 + 25x) + 4x * (6 + 5x)) = 0 (30 + 25x + (6 * 4x + 5x * 4x)) = 0 (30 + 25x + (24x + 20x2)) = 0 Combine like terms: 25x + 24x = 49x (30 + 49x + 20x2) = 0 Solving 30 + 49x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + 4x)(6 + 5x) = 0Subproblem 1
Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Subproblem 2
Set the factor '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2Solution
x = {-1.25, -1.2}
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