3x*x+8=-14x

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Solution for 3x*x+8=-14x equation:


Simplifying
3x * x + 8 = -14x

Multiply x * x
3x2 + 8 = -14x

Reorder the terms:
8 + 3x2 = -14x

Solving
8 + 3x2 = -14x

Solving for variable 'x'.

Reorder the terms:
8 + 14x + 3x2 = -14x + 14x

Combine like terms: -14x + 14x = 0
8 + 14x + 3x2 = 0

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

Subproblem 1

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Subproblem 2

Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 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 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667

Solution

x = {-4, -0.6666666667}

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