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Simplifying (6x + 8)(x + 7) = 0 Reorder the terms: (8 + 6x)(x + 7) = 0 Reorder the terms: (8 + 6x)(7 + x) = 0 Multiply (8 + 6x) * (7 + x) (8(7 + x) + 6x * (7 + x)) = 0 ((7 * 8 + x * 8) + 6x * (7 + x)) = 0 ((56 + 8x) + 6x * (7 + x)) = 0 (56 + 8x + (7 * 6x + x * 6x)) = 0 (56 + 8x + (42x + 6x2)) = 0 Combine like terms: 8x + 42x = 50x (56 + 50x + 6x2) = 0 Solving 56 + 50x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(28 + 25x + 3x2) = 0 Factor a trinomial. 2((7 + x)(4 + 3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 2
Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Solution
x = {-7, -1.333333333}
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