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Simplifying (4x + -5)(x + -3) = 0 Reorder the terms: (-5 + 4x)(x + -3) = 0 Reorder the terms: (-5 + 4x)(-3 + x) = 0 Multiply (-5 + 4x) * (-3 + x) (-5(-3 + x) + 4x * (-3 + x)) = 0 ((-3 * -5 + x * -5) + 4x * (-3 + x)) = 0 ((15 + -5x) + 4x * (-3 + x)) = 0 (15 + -5x + (-3 * 4x + x * 4x)) = 0 (15 + -5x + (-12x + 4x2)) = 0 Combine like terms: -5x + -12x = -17x (15 + -17x + 4x2) = 0 Solving 15 + -17x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -4x)(3 + -1x) = 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {1.25, 3}
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