2x^2+7x+14=8

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Solution for 2x^2+7x+14=8 equation:


Simplifying
2x2 + 7x + 14 = 8

Reorder the terms:
14 + 7x + 2x2 = 8

Solving
14 + 7x + 2x2 = 8

Solving for variable 'x'.

Reorder the terms:
14 + -8 + 7x + 2x2 = 8 + -8

Combine like terms: 14 + -8 = 6
6 + 7x + 2x2 = 8 + -8

Combine like terms: 8 + -8 = 0
6 + 7x + 2x2 = 0

Factor a trinomial.
(2 + x)(3 + 2x) = 0

Subproblem 1

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

Subproblem 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 = -1.5

Solution

x = {-2, -1.5}

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