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Simplifying (3x + 1)(4x + -7) = 0 Reorder the terms: (1 + 3x)(4x + -7) = 0 Reorder the terms: (1 + 3x)(-7 + 4x) = 0 Multiply (1 + 3x) * (-7 + 4x) (1(-7 + 4x) + 3x * (-7 + 4x)) = 0 ((-7 * 1 + 4x * 1) + 3x * (-7 + 4x)) = 0 ((-7 + 4x) + 3x * (-7 + 4x)) = 0 (-7 + 4x + (-7 * 3x + 4x * 3x)) = 0 (-7 + 4x + (-21x + 12x2)) = 0 Combine like terms: 4x + -21x = -17x (-7 + -17x + 12x2) = 0 Solving -7 + -17x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -3x)(7 + -4x) = 0Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {-0.3333333333, 1.75}
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