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Simplifying (7x + -3)(6x + 4) = 0 Reorder the terms: (-3 + 7x)(6x + 4) = 0 Reorder the terms: (-3 + 7x)(4 + 6x) = 0 Multiply (-3 + 7x) * (4 + 6x) (-3(4 + 6x) + 7x * (4 + 6x)) = 0 ((4 * -3 + 6x * -3) + 7x * (4 + 6x)) = 0 ((-12 + -18x) + 7x * (4 + 6x)) = 0 (-12 + -18x + (4 * 7x + 6x * 7x)) = 0 (-12 + -18x + (28x + 42x2)) = 0 Combine like terms: -18x + 28x = 10x (-12 + 10x + 42x2) = 0 Solving -12 + 10x + 42x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 5x + 21x2) = 0 Factor a trinomial. 2((-2 + -3x)(3 + -7x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve: Simplifying -2 + -3x = 0 Solving -2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 0 + 2 -3x = 0 + 2 Combine like terms: 0 + 2 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 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 = {-0.6666666667, 0.4285714286}
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