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Simplifying (4x + 19)(x + -3) = 0 Reorder the terms: (19 + 4x)(x + -3) = 0 Reorder the terms: (19 + 4x)(-3 + x) = 0 Multiply (19 + 4x) * (-3 + x) (19(-3 + x) + 4x * (-3 + x)) = 0 ((-3 * 19 + x * 19) + 4x * (-3 + x)) = 0 ((-57 + 19x) + 4x * (-3 + x)) = 0 (-57 + 19x + (-3 * 4x + x * 4x)) = 0 (-57 + 19x + (-12x + 4x2)) = 0 Combine like terms: 19x + -12x = 7x (-57 + 7x + 4x2) = 0 Solving -57 + 7x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-19 + -4x)(3 + -1x) = 0Subproblem 1
Set the factor '(-19 + -4x)' equal to zero and attempt to solve: Simplifying -19 + -4x = 0 Solving -19 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -4x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -4x = 0 + 19 -4x = 0 + 19 Combine like terms: 0 + 19 = 19 -4x = 19 Divide each side by '-4'. x = -4.75 Simplifying x = -4.75Subproblem 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 = {-4.75, 3}
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