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Simplifying (4x + 5)(3x + -11) = 0 Reorder the terms: (5 + 4x)(3x + -11) = 0 Reorder the terms: (5 + 4x)(-11 + 3x) = 0 Multiply (5 + 4x) * (-11 + 3x) (5(-11 + 3x) + 4x * (-11 + 3x)) = 0 ((-11 * 5 + 3x * 5) + 4x * (-11 + 3x)) = 0 ((-55 + 15x) + 4x * (-11 + 3x)) = 0 (-55 + 15x + (-11 * 4x + 3x * 4x)) = 0 (-55 + 15x + (-44x + 12x2)) = 0 Combine like terms: 15x + -44x = -29x (-55 + -29x + 12x2) = 0 Solving -55 + -29x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -4x)(11 + -3x) = 0Subproblem 1
Set the factor '(-5 + -4x)' equal to zero and attempt to solve: Simplifying -5 + -4x = 0 Solving -5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 0 + 5 -4x = 0 + 5 Combine like terms: 0 + 5 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25Subproblem 2
Set the factor '(11 + -3x)' equal to zero and attempt to solve: Simplifying 11 + -3x = 0 Solving 11 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -3x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = 0 + -11 -3x = 0 + -11 Combine like terms: 0 + -11 = -11 -3x = -11 Divide each side by '-3'. x = 3.666666667 Simplifying x = 3.666666667Solution
x = {-1.25, 3.666666667}
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