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Simplifying (3x + 1)(7x + -4) = 0 Reorder the terms: (1 + 3x)(7x + -4) = 0 Reorder the terms: (1 + 3x)(-4 + 7x) = 0 Multiply (1 + 3x) * (-4 + 7x) (1(-4 + 7x) + 3x * (-4 + 7x)) = 0 ((-4 * 1 + 7x * 1) + 3x * (-4 + 7x)) = 0 ((-4 + 7x) + 3x * (-4 + 7x)) = 0 (-4 + 7x + (-4 * 3x + 7x * 3x)) = 0 (-4 + 7x + (-12x + 21x2)) = 0 Combine like terms: 7x + -12x = -5x (-4 + -5x + 21x2) = 0 Solving -4 + -5x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -3x)(4 + -7x) = 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 '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 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 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714Solution
x = {-0.3333333333, 0.5714285714}
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