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Simplifying (4x + 3)(x + 14) = 0 Reorder the terms: (3 + 4x)(x + 14) = 0 Reorder the terms: (3 + 4x)(14 + x) = 0 Multiply (3 + 4x) * (14 + x) (3(14 + x) + 4x * (14 + x)) = 0 ((14 * 3 + x * 3) + 4x * (14 + x)) = 0 ((42 + 3x) + 4x * (14 + x)) = 0 (42 + 3x + (14 * 4x + x * 4x)) = 0 (42 + 3x + (56x + 4x2)) = 0 Combine like terms: 3x + 56x = 59x (42 + 59x + 4x2) = 0 Solving 42 + 59x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (14 + x)(3 + 4x) = 0Subproblem 1
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Subproblem 2
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 = -0.75Solution
x = {-14, -0.75}
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