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Simplifying -1(7x + 3)(7x + 4) = 0 Reorder the terms: -1(3 + 7x)(7x + 4) = 0 Reorder the terms: -1(3 + 7x)(4 + 7x) = 0 Multiply (3 + 7x) * (4 + 7x) -1(3(4 + 7x) + 7x * (4 + 7x)) = 0 -1((4 * 3 + 7x * 3) + 7x * (4 + 7x)) = 0 -1((12 + 21x) + 7x * (4 + 7x)) = 0 -1(12 + 21x + (4 * 7x + 7x * 7x)) = 0 -1(12 + 21x + (28x + 49x2)) = 0 Combine like terms: 21x + 28x = 49x -1(12 + 49x + 49x2) = 0 (12 * -1 + 49x * -1 + 49x2 * -1) = 0 (-12 + -49x + -49x2) = 0 Solving -12 + -49x + -49x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(12 + 49x + 49x2) = 0 Factor a trinomial. -1((4 + 7x)(3 + 7x)) = 0 Ignore the factor -1.Subproblem 1
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 = -0.5714285714Subproblem 2
Set the factor '(3 + 7x)' equal to zero and attempt to solve: Simplifying 3 + 7x = 0 Solving 3 + 7x = 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 + 7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 0 + -3 7x = 0 + -3 Combine like terms: 0 + -3 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286Solution
x = {-0.5714285714, -0.4285714286}
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