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Simplifying (7 + -1x)(3x + -4) = 0 Reorder the terms: (7 + -1x)(-4 + 3x) = 0 Multiply (7 + -1x) * (-4 + 3x) (7(-4 + 3x) + -1x * (-4 + 3x)) = 0 ((-4 * 7 + 3x * 7) + -1x * (-4 + 3x)) = 0 ((-28 + 21x) + -1x * (-4 + 3x)) = 0 (-28 + 21x + (-4 * -1x + 3x * -1x)) = 0 (-28 + 21x + (4x + -3x2)) = 0 Combine like terms: 21x + 4x = 25x (-28 + 25x + -3x2) = 0 Solving -28 + 25x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + x)(4 + -3x) = 0Subproblem 1
Set the factor '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 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 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {7, 1.333333333}
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