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Simplifying (-3x + 1)(7x + -5) = 0 Reorder the terms: (1 + -3x)(7x + -5) = 0 Reorder the terms: (1 + -3x)(-5 + 7x) = 0 Multiply (1 + -3x) * (-5 + 7x) (1(-5 + 7x) + -3x * (-5 + 7x)) = 0 ((-5 * 1 + 7x * 1) + -3x * (-5 + 7x)) = 0 ((-5 + 7x) + -3x * (-5 + 7x)) = 0 (-5 + 7x + (-5 * -3x + 7x * -3x)) = 0 (-5 + 7x + (15x + -21x2)) = 0 Combine like terms: 7x + 15x = 22x (-5 + 22x + -21x2) = 0 Solving -5 + 22x + -21x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + 7x)(1 + -3x) = 0Subproblem 1
Set the factor '(-5 + 7x)' equal to zero and attempt to solve: Simplifying -5 + 7x = 0 Solving -5 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 0 + 5 7x = 0 + 5 Combine like terms: 0 + 5 = 5 7x = 5 Divide each side by '7'. x = 0.7142857143 Simplifying x = 0.7142857143Subproblem 2
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 = 0.3333333333Solution
x = {0.7142857143, 0.3333333333}
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