2x^2+14x+49=9x^2-12x+4

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Solution for 2x^2+14x+49=9x^2-12x+4 equation: 


Simplifying
2x2 + 14x + 49 = 9x2 + -12x + 4

Reorder the terms:
49 + 14x + 2x2 = 9x2 + -12x + 4

Reorder the terms:
49 + 14x + 2x2 = 4 + -12x + 9x2

Solving
49 + 14x + 2x2 = 4 + -12x + 9x2

Solving for variable 'x'.

Reorder the terms:
49 + -4 + 14x + 12x + 2x2 + -9x2 = 4 + -12x + 9x2 + -4 + 12x + -9x2

Combine like terms: 49 + -4 = 45
45 + 14x + 12x + 2x2 + -9x2 = 4 + -12x + 9x2 + -4 + 12x + -9x2

Combine like terms: 14x + 12x = 26x
45 + 26x + 2x2 + -9x2 = 4 + -12x + 9x2 + -4 + 12x + -9x2

Combine like terms: 2x2 + -9x2 = -7x2
45 + 26x + -7x2 = 4 + -12x + 9x2 + -4 + 12x + -9x2

Reorder the terms:
45 + 26x + -7x2 = 4 + -4 + -12x + 12x + 9x2 + -9x2

Combine like terms: 4 + -4 = 0
45 + 26x + -7x2 = 0 + -12x + 12x + 9x2 + -9x2
45 + 26x + -7x2 = -12x + 12x + 9x2 + -9x2

Combine like terms: -12x + 12x = 0
45 + 26x + -7x2 = 0 + 9x2 + -9x2
45 + 26x + -7x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
45 + 26x + -7x2 = 0

Factor a trinomial.
(5 + -1x)(9 + 7x) = 0


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

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

Subproblem 2
Set the factor '(9 + 7x)' equal to zero and attempt to solve:

Simplifying
9 + 7x = 0

Solving
9 + 7x = 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 + 7x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 7x = 0 + -9
7x = 0 + -9

Combine like terms: 0 + -9 = -9
7x = -9

Divide each side by '7'.
x = -1.285714286

Simplifying
x = -1.285714286
Solution
x = {5, -1.285714286}

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