340+4x^2-56x=25+x^2+6x

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Solution for 340+4x^2-56x=25+x^2+6x equation: 


Simplifying
340 + 4x2 + -56x = 25 + x2 + 6x

Reorder the terms:
340 + -56x + 4x2 = 25 + x2 + 6x

Reorder the terms:
340 + -56x + 4x2 = 25 + 6x + x2

Solving
340 + -56x + 4x2 = 25 + 6x + x2

Solving for variable 'x'.

Reorder the terms:
340 + -25 + -56x + -6x + 4x2 + -1x2 = 25 + 6x + x2 + -25 + -6x + -1x2

Combine like terms: 340 + -25 = 315
315 + -56x + -6x + 4x2 + -1x2 = 25 + 6x + x2 + -25 + -6x + -1x2

Combine like terms: -56x + -6x = -62x
315 + -62x + 4x2 + -1x2 = 25 + 6x + x2 + -25 + -6x + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
315 + -62x + 3x2 = 25 + 6x + x2 + -25 + -6x + -1x2

Reorder the terms:
315 + -62x + 3x2 = 25 + -25 + 6x + -6x + x2 + -1x2

Combine like terms: 25 + -25 = 0
315 + -62x + 3x2 = 0 + 6x + -6x + x2 + -1x2
315 + -62x + 3x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
315 + -62x + 3x2 = 0 + x2 + -1x2
315 + -62x + 3x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
315 + -62x + 3x2 = 0

Factor a trinomial.
(9 + -1x)(35 + -3x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(35 + -3x)' equal to zero and attempt to solve:

Simplifying
35 + -3x = 0

Solving
35 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-35' to each side of the equation.
35 + -35 + -3x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -3x = 0 + -35
-3x = 0 + -35

Combine like terms: 0 + -35 = -35
-3x = -35

Divide each side by '-3'.
x = 11.66666667

Simplifying
x = 11.66666667
Solution
x = {9, 11.66666667}

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