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Simplifying -1(7x + 4)(5x + 3) = 0 Reorder the terms: -1(4 + 7x)(5x + 3) = 0 Reorder the terms: -1(4 + 7x)(3 + 5x) = 0 Multiply (4 + 7x) * (3 + 5x) -1(4(3 + 5x) + 7x * (3 + 5x)) = 0 -1((3 * 4 + 5x * 4) + 7x * (3 + 5x)) = 0 -1((12 + 20x) + 7x * (3 + 5x)) = 0 -1(12 + 20x + (3 * 7x + 5x * 7x)) = 0 -1(12 + 20x + (21x + 35x2)) = 0 Combine like terms: 20x + 21x = 41x -1(12 + 41x + 35x2) = 0 (12 * -1 + 41x * -1 + 35x2 * -1) = 0 (-12 + -41x + -35x2) = 0 Solving -12 + -41x + -35x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(12 + 41x + 35x2) = 0 Factor a trinomial. -1((3 + 5x)(4 + 7x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Subproblem 2
Set the factor '(4 + 7x)' equal to zero and attempt to solve: Simplifying 4 + 7x = 0 Solving 4 + 7x = 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 + 7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 0 + -4 7x = 0 + -4 Combine like terms: 0 + -4 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714Solution
x = {-0.6, -0.5714285714}
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