4x^2+92x+480=49x^2+238x+289

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Solution for 4x^2+92x+480=49x^2+238x+289 equation: 


Simplifying
4x2 + 92x + 480 = 49x2 + 238x + 289

Reorder the terms:
480 + 92x + 4x2 = 49x2 + 238x + 289

Reorder the terms:
480 + 92x + 4x2 = 289 + 238x + 49x2

Solving
480 + 92x + 4x2 = 289 + 238x + 49x2

Solving for variable 'x'.

Reorder the terms:
480 + -289 + 92x + -238x + 4x2 + -49x2 = 289 + 238x + 49x2 + -289 + -238x + -49x2

Combine like terms: 480 + -289 = 191
191 + 92x + -238x + 4x2 + -49x2 = 289 + 238x + 49x2 + -289 + -238x + -49x2

Combine like terms: 92x + -238x = -146x
191 + -146x + 4x2 + -49x2 = 289 + 238x + 49x2 + -289 + -238x + -49x2

Combine like terms: 4x2 + -49x2 = -45x2
191 + -146x + -45x2 = 289 + 238x + 49x2 + -289 + -238x + -49x2

Reorder the terms:
191 + -146x + -45x2 = 289 + -289 + 238x + -238x + 49x2 + -49x2

Combine like terms: 289 + -289 = 0
191 + -146x + -45x2 = 0 + 238x + -238x + 49x2 + -49x2
191 + -146x + -45x2 = 238x + -238x + 49x2 + -49x2

Combine like terms: 238x + -238x = 0
191 + -146x + -45x2 = 0 + 49x2 + -49x2
191 + -146x + -45x2 = 49x2 + -49x2

Combine like terms: 49x2 + -49x2 = 0
191 + -146x + -45x2 = 0

Factor a trinomial.
(1 + -1x)(191 + 45x) = 0


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(191 + 45x)' equal to zero and attempt to solve:

Simplifying
191 + 45x = 0

Solving
191 + 45x = 0

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

Add '-191' to each side of the equation.
191 + -191 + 45x = 0 + -191

Combine like terms: 191 + -191 = 0
0 + 45x = 0 + -191
45x = 0 + -191

Combine like terms: 0 + -191 = -191
45x = -191

Divide each side by '45'.
x = -4.244444444

Simplifying
x = -4.244444444
Solution
x = {1, -4.244444444}

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