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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 = -59x (42 + -59x + 20x2) = 0 Solving 42 + -59x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -5x)(7 + -4x) = 0Subproblem 1
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 = 1.2Subproblem 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 = {1.2, 1.75}
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