2x^2+21x-351=0

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Solution for 2x^2+21x-351=0 equation:


Simplifying
2x2 + 21x + -351 = 0

Reorder the terms:
-351 + 21x + 2x2 = 0

Solving
-351 + 21x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-39 + -2x)(9 + -1x) = 0

Subproblem 1

Set the factor '(-39 + -2x)' equal to zero and attempt to solve: Simplifying -39 + -2x = 0 Solving -39 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -2x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -2x = 0 + 39 -2x = 0 + 39 Combine like terms: 0 + 39 = 39 -2x = 39 Divide each side by '-2'. x = -19.5 Simplifying x = -19.5

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {-19.5, 9}

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