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Simplifying (x + 9)(4x + 7) = 0 Reorder the terms: (9 + x)(4x + 7) = 0 Reorder the terms: (9 + x)(7 + 4x) = 0 Multiply (9 + x) * (7 + 4x) (9(7 + 4x) + x(7 + 4x)) = 0 ((7 * 9 + 4x * 9) + x(7 + 4x)) = 0 ((63 + 36x) + x(7 + 4x)) = 0 (63 + 36x + (7 * x + 4x * x)) = 0 (63 + 36x + (7x + 4x2)) = 0 Combine like terms: 36x + 7x = 43x (63 + 43x + 4x2) = 0 Solving 63 + 43x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + x)(7 + 4x) = 0Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
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 = -1.75Solution
x = {-9, -1.75}
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