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Simplifying (7x + -7)(4x + 3) = 0 Reorder the terms: (-7 + 7x)(4x + 3) = 0 Reorder the terms: (-7 + 7x)(3 + 4x) = 0 Multiply (-7 + 7x) * (3 + 4x) (-7(3 + 4x) + 7x * (3 + 4x)) = 0 ((3 * -7 + 4x * -7) + 7x * (3 + 4x)) = 0 ((-21 + -28x) + 7x * (3 + 4x)) = 0 (-21 + -28x + (3 * 7x + 4x * 7x)) = 0 (-21 + -28x + (21x + 28x2)) = 0 Combine like terms: -28x + 21x = -7x (-21 + -7x + 28x2) = 0 Solving -21 + -7x + 28x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7'. 7(-3 + -1x + 4x2) = 0 Factor a trinomial. 7((-3 + -4x)(1 + -1x)) = 0 Ignore the factor 7.Subproblem 1
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 = -0.75Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-0.75, 1}
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