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Simplifying (5x + 6)(4x + 7) = 0 Reorder the terms: (6 + 5x)(4x + 7) = 0 Reorder the terms: (6 + 5x)(7 + 4x) = 0 Multiply (6 + 5x) * (7 + 4x) (6(7 + 4x) + 5x * (7 + 4x)) = 0 ((7 * 6 + 4x * 6) + 5x * (7 + 4x)) = 0 ((42 + 24x) + 5x * (7 + 4x)) = 0 (42 + 24x + (7 * 5x + 4x * 5x)) = 0 (42 + 24x + (35x + 20x2)) = 0 Combine like terms: 24x + 35x = 59x (42 + 59x + 20x2) = 0 Solving 42 + 59x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + 4x)(6 + 5x) = 0Subproblem 1
Set the factor '(7 + 4x)' equal to zero and attempt to solve: Simplifying 7 + 4x = 0 Solving 7 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 0 + -7 4x = 0 + -7 Combine like terms: 0 + -7 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75Subproblem 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 = {-1.75, -1.2}
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