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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 = 11x (-42 + 11x + 20x2) = 0 Solving -42 + 11x + 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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