2x^2+6x-4=-3x^2+14x

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Solution for 2x^2+6x-4=-3x^2+14x equation: 


Simplifying
2x2 + 6x + -4 = -3x2 + 14x

Reorder the terms:
-4 + 6x + 2x2 = -3x2 + 14x

Reorder the terms:
-4 + 6x + 2x2 = 14x + -3x2

Solving
-4 + 6x + 2x2 = 14x + -3x2

Solving for variable 'x'.

Reorder the terms:
-4 + 6x + -14x + 2x2 + 3x2 = 14x + -3x2 + -14x + 3x2

Combine like terms: 6x + -14x = -8x
-4 + -8x + 2x2 + 3x2 = 14x + -3x2 + -14x + 3x2

Combine like terms: 2x2 + 3x2 = 5x2
-4 + -8x + 5x2 = 14x + -3x2 + -14x + 3x2

Reorder the terms:
-4 + -8x + 5x2 = 14x + -14x + -3x2 + 3x2

Combine like terms: 14x + -14x = 0
-4 + -8x + 5x2 = 0 + -3x2 + 3x2
-4 + -8x + 5x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-4 + -8x + 5x2 = 0

Factor a trinomial.
(-2 + -5x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve:

Simplifying
-2 + -5x = 0

Solving
-2 + -5x = 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 + -5x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 0 + 2
-5x = 0 + 2

Combine like terms: 0 + 2 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-0.4, 2}

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