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Simplifying 7x + -3x + 7 = 3x(x + -4) + 20 Reorder the terms: 7 + 7x + -3x = 3x(x + -4) + 20 Combine like terms: 7x + -3x = 4x 7 + 4x = 3x(x + -4) + 20 Reorder the terms: 7 + 4x = 3x(-4 + x) + 20 7 + 4x = (-4 * 3x + x * 3x) + 20 7 + 4x = (-12x + 3x2) + 20 Reorder the terms: 7 + 4x = 20 + -12x + 3x2 Solving 7 + 4x = 20 + -12x + 3x2 Solving for variable 'x'. Reorder the terms: 7 + -20 + 4x + 12x + -3x2 = 20 + -12x + 3x2 + -20 + 12x + -3x2 Combine like terms: 7 + -20 = -13 -13 + 4x + 12x + -3x2 = 20 + -12x + 3x2 + -20 + 12x + -3x2 Combine like terms: 4x + 12x = 16x -13 + 16x + -3x2 = 20 + -12x + 3x2 + -20 + 12x + -3x2 Reorder the terms: -13 + 16x + -3x2 = 20 + -20 + -12x + 12x + 3x2 + -3x2 Combine like terms: 20 + -20 = 0 -13 + 16x + -3x2 = 0 + -12x + 12x + 3x2 + -3x2 -13 + 16x + -3x2 = -12x + 12x + 3x2 + -3x2 Combine like terms: -12x + 12x = 0 -13 + 16x + -3x2 = 0 + 3x2 + -3x2 -13 + 16x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -13 + 16x + -3x2 = 0 Factor a trinomial. (-13 + 3x)(1 + -1x) = 0Subproblem 1
Set the factor '(-13 + 3x)' equal to zero and attempt to solve: Simplifying -13 + 3x = 0 Solving -13 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 3x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 0 + 13 3x = 0 + 13 Combine like terms: 0 + 13 = 13 3x = 13 Divide each side by '3'. x = 4.333333333 Simplifying x = 4.333333333Subproblem 2
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 = 1Solution
x = {4.333333333, 1}
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