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Simplifying (-7x + 3)(3x + -4) = 0 Reorder the terms: (3 + -7x)(3x + -4) = 0 Reorder the terms: (3 + -7x)(-4 + 3x) = 0 Multiply (3 + -7x) * (-4 + 3x) (3(-4 + 3x) + -7x * (-4 + 3x)) = 0 ((-4 * 3 + 3x * 3) + -7x * (-4 + 3x)) = 0 ((-12 + 9x) + -7x * (-4 + 3x)) = 0 (-12 + 9x + (-4 * -7x + 3x * -7x)) = 0 (-12 + 9x + (28x + -21x2)) = 0 Combine like terms: 9x + 28x = 37x (-12 + 37x + -21x2) = 0 Solving -12 + 37x + -21x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + 3x)(3 + -7x) = 0Subproblem 1
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 = 1.333333333Subproblem 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 = {1.333333333, 0.4285714286}
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