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Simplifying 2x(x + -3) + 3(x + -7) + 1 = 0 Reorder the terms: 2x(-3 + x) + 3(x + -7) + 1 = 0 (-3 * 2x + x * 2x) + 3(x + -7) + 1 = 0 (-6x + 2x2) + 3(x + -7) + 1 = 0 Reorder the terms: -6x + 2x2 + 3(-7 + x) + 1 = 0 -6x + 2x2 + (-7 * 3 + x * 3) + 1 = 0 -6x + 2x2 + (-21 + 3x) + 1 = 0 Reorder the terms: -21 + 1 + -6x + 3x + 2x2 = 0 Combine like terms: -21 + 1 = -20 -20 + -6x + 3x + 2x2 = 0 Combine like terms: -6x + 3x = -3x -20 + -3x + 2x2 = 0 Solving -20 + -3x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -2x)(4 + -1x) = 0Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 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 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-2.5, 4}
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