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Simplifying (4x + 3)(x + -11) = 0 Reorder the terms: (3 + 4x)(x + -11) = 0 Reorder the terms: (3 + 4x)(-11 + x) = 0 Multiply (3 + 4x) * (-11 + x) (3(-11 + x) + 4x * (-11 + x)) = 0 ((-11 * 3 + x * 3) + 4x * (-11 + x)) = 0 ((-33 + 3x) + 4x * (-11 + x)) = 0 (-33 + 3x + (-11 * 4x + x * 4x)) = 0 (-33 + 3x + (-44x + 4x2)) = 0 Combine like terms: 3x + -44x = -41x (-33 + -41x + 4x2) = 0 Solving -33 + -41x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -4x)(11 + -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 '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 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 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-0.75, 11}
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