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Simplifying (x + -5)(4x + -3) = 0 Reorder the terms: (-5 + x)(4x + -3) = 0 Reorder the terms: (-5 + x)(-3 + 4x) = 0 Multiply (-5 + x) * (-3 + 4x) (-5(-3 + 4x) + x(-3 + 4x)) = 0 ((-3 * -5 + 4x * -5) + x(-3 + 4x)) = 0 ((15 + -20x) + x(-3 + 4x)) = 0 (15 + -20x + (-3 * x + 4x * x)) = 0 (15 + -20x + (-3x + 4x2)) = 0 Combine like terms: -20x + -3x = -23x (15 + -23x + 4x2) = 0 Solving 15 + -23x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -4x)(5 + -1x) = 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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {0.75, 5}
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