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Simplifying (4x + 11)(x + 10) = 0 Reorder the terms: (11 + 4x)(x + 10) = 0 Reorder the terms: (11 + 4x)(10 + x) = 0 Multiply (11 + 4x) * (10 + x) (11(10 + x) + 4x * (10 + x)) = 0 ((10 * 11 + x * 11) + 4x * (10 + x)) = 0 ((110 + 11x) + 4x * (10 + x)) = 0 (110 + 11x + (10 * 4x + x * 4x)) = 0 (110 + 11x + (40x + 4x2)) = 0 Combine like terms: 11x + 40x = 51x (110 + 51x + 4x2) = 0 Solving 110 + 51x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (10 + x)(11 + 4x) = 0Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 2
Set the factor '(11 + 4x)' equal to zero and attempt to solve: Simplifying 11 + 4x = 0 Solving 11 + 4x = 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 + 4x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 0 + -11 4x = 0 + -11 Combine like terms: 0 + -11 = -11 4x = -11 Divide each side by '4'. x = -2.75 Simplifying x = -2.75Solution
x = {-10, -2.75}
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