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Simplifying (2x + 1)(x + -3) + -4 = 0 Reorder the terms: (1 + 2x)(x + -3) + -4 = 0 Reorder the terms: (1 + 2x)(-3 + x) + -4 = 0 Multiply (1 + 2x) * (-3 + x) (1(-3 + x) + 2x * (-3 + x)) + -4 = 0 ((-3 * 1 + x * 1) + 2x * (-3 + x)) + -4 = 0 ((-3 + 1x) + 2x * (-3 + x)) + -4 = 0 (-3 + 1x + (-3 * 2x + x * 2x)) + -4 = 0 (-3 + 1x + (-6x + 2x2)) + -4 = 0 Combine like terms: 1x + -6x = -5x (-3 + -5x + 2x2) + -4 = 0 Reorder the terms: -3 + -4 + -5x + 2x2 = 0 Combine like terms: -3 + -4 = -7 -7 + -5x + 2x2 = 0 Solving -7 + -5x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(7 + -2x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {-1, 3.5}
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