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Simplifying (x + -4)(7x + 3) = 0 Reorder the terms: (-4 + x)(7x + 3) = 0 Reorder the terms: (-4 + x)(3 + 7x) = 0 Multiply (-4 + x) * (3 + 7x) (-4(3 + 7x) + x(3 + 7x)) = 0 ((3 * -4 + 7x * -4) + x(3 + 7x)) = 0 ((-12 + -28x) + x(3 + 7x)) = 0 (-12 + -28x + (3 * x + 7x * x)) = 0 (-12 + -28x + (3x + 7x2)) = 0 Combine like terms: -28x + 3x = -25x (-12 + -25x + 7x2) = 0 Solving -12 + -25x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -7x)(4 + -1x) = 0Subproblem 1
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 = -0.4285714286Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-0.4285714286, 4}
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