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Simplifying (7x + -8)(4x + 3) = 0 Reorder the terms: (-8 + 7x)(4x + 3) = 0 Reorder the terms: (-8 + 7x)(3 + 4x) = 0 Multiply (-8 + 7x) * (3 + 4x) (-8(3 + 4x) + 7x * (3 + 4x)) = 0 ((3 * -8 + 4x * -8) + 7x * (3 + 4x)) = 0 ((-24 + -32x) + 7x * (3 + 4x)) = 0 (-24 + -32x + (3 * 7x + 4x * 7x)) = 0 (-24 + -32x + (21x + 28x2)) = 0 Combine like terms: -32x + 21x = -11x (-24 + -11x + 28x2) = 0 Solving -24 + -11x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -4x)(8 + -7x) = 0Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve: Simplifying 8 + -7x = 0 Solving 8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143Solution
x = {-0.75, 1.142857143}
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