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Simplifying 12x2 + 22x + 21 = 7x2 Reorder the terms: 21 + 22x + 12x2 = 7x2 Solving 21 + 22x + 12x2 = 7x2 Solving for variable 'x'. Combine like terms: 12x2 + -7x2 = 5x2 21 + 22x + 5x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 21 + 22x + 5x2 = 0 Factor a trinomial. (3 + x)(7 + 5x) = 0Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(7 + 5x)' equal to zero and attempt to solve: Simplifying 7 + 5x = 0 Solving 7 + 5x = 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 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4Solution
x = {-3, -1.4}
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