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Simplifying 2x2 + 15x = 4x + 21 Reorder the terms: 15x + 2x2 = 4x + 21 Reorder the terms: 15x + 2x2 = 21 + 4x Solving 15x + 2x2 = 21 + 4x Solving for variable 'x'. Reorder the terms: -21 + 15x + -4x + 2x2 = 21 + 4x + -21 + -4x Combine like terms: 15x + -4x = 11x -21 + 11x + 2x2 = 21 + 4x + -21 + -4x Reorder the terms: -21 + 11x + 2x2 = 21 + -21 + 4x + -4x Combine like terms: 21 + -21 = 0 -21 + 11x + 2x2 = 0 + 4x + -4x -21 + 11x + 2x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 11x + 2x2 = 0 Factor a trinomial. (-7 + -1x)(3 + -2x) = 0Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 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 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-7, 1.5}
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