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Simplifying (7x + -6)(4x + 9) = 0 Reorder the terms: (-6 + 7x)(4x + 9) = 0 Reorder the terms: (-6 + 7x)(9 + 4x) = 0 Multiply (-6 + 7x) * (9 + 4x) (-6(9 + 4x) + 7x * (9 + 4x)) = 0 ((9 * -6 + 4x * -6) + 7x * (9 + 4x)) = 0 ((-54 + -24x) + 7x * (9 + 4x)) = 0 (-54 + -24x + (9 * 7x + 4x * 7x)) = 0 (-54 + -24x + (63x + 28x2)) = 0 Combine like terms: -24x + 63x = 39x (-54 + 39x + 28x2) = 0 Solving -54 + 39x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -4x)(6 + -7x) = 0Subproblem 1
Set the factor '(-9 + -4x)' equal to zero and attempt to solve: Simplifying -9 + -4x = 0 Solving -9 + -4x = 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 + -4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 0 + 9 -4x = 0 + 9 Combine like terms: 0 + 9 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25Subproblem 2
Set the factor '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 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 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571Solution
x = {-2.25, 0.8571428571}
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