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Simplifying (7x + 1)(19x + -3) = 0 Reorder the terms: (1 + 7x)(19x + -3) = 0 Reorder the terms: (1 + 7x)(-3 + 19x) = 0 Multiply (1 + 7x) * (-3 + 19x) (1(-3 + 19x) + 7x * (-3 + 19x)) = 0 ((-3 * 1 + 19x * 1) + 7x * (-3 + 19x)) = 0 ((-3 + 19x) + 7x * (-3 + 19x)) = 0 (-3 + 19x + (-3 * 7x + 19x * 7x)) = 0 (-3 + 19x + (-21x + 133x2)) = 0 Combine like terms: 19x + -21x = -2x (-3 + -2x + 133x2) = 0 Solving -3 + -2x + 133x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -7x)(3 + -19x) = 0Subproblem 1
Set the factor '(-1 + -7x)' equal to zero and attempt to solve: Simplifying -1 + -7x = 0 Solving -1 + -7x = 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 + -7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 0 + 1 -7x = 0 + 1 Combine like terms: 0 + 1 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429Subproblem 2
Set the factor '(3 + -19x)' equal to zero and attempt to solve: Simplifying 3 + -19x = 0 Solving 3 + -19x = 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 + -19x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -19x = 0 + -3 -19x = 0 + -3 Combine like terms: 0 + -3 = -3 -19x = -3 Divide each side by '-19'. x = 0.1578947368 Simplifying x = 0.1578947368Solution
x = {-0.1428571429, 0.1578947368}
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