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Simplifying (9 + -1x)(4x + 7) = 0 Reorder the terms: (9 + -1x)(7 + 4x) = 0 Multiply (9 + -1x) * (7 + 4x) (9(7 + 4x) + -1x * (7 + 4x)) = 0 ((7 * 9 + 4x * 9) + -1x * (7 + 4x)) = 0 ((63 + 36x) + -1x * (7 + 4x)) = 0 (63 + 36x + (7 * -1x + 4x * -1x)) = 0 (63 + 36x + (-7x + -4x2)) = 0 Combine like terms: 36x + -7x = 29x (63 + 29x + -4x2) = 0 Solving 63 + 29x + -4x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -1x)(7 + 4x) = 0Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. 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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