5x^2+53x+30=9+25x^2

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Solution for 5x^2+53x+30=9+25x^2 equation: 


Simplifying
5x2 + 53x + 30 = 9 + 25x2

Reorder the terms:
30 + 53x + 5x2 = 9 + 25x2

Solving
30 + 53x + 5x2 = 9 + 25x2

Solving for variable 'x'.

Reorder the terms:
30 + -9 + 53x + 5x2 + -25x2 = 9 + 25x2 + -9 + -25x2

Combine like terms: 30 + -9 = 21
21 + 53x + 5x2 + -25x2 = 9 + 25x2 + -9 + -25x2

Combine like terms: 5x2 + -25x2 = -20x2
21 + 53x + -20x2 = 9 + 25x2 + -9 + -25x2

Reorder the terms:
21 + 53x + -20x2 = 9 + -9 + 25x2 + -25x2

Combine like terms: 9 + -9 = 0
21 + 53x + -20x2 = 0 + 25x2 + -25x2
21 + 53x + -20x2 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
21 + 53x + -20x2 = 0

Factor a trinomial.
(3 + -1x)(7 + 20x) = 0


Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(7 + 20x)' equal to zero and attempt to solve:

Simplifying
7 + 20x = 0

Solving
7 + 20x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 20x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 20x = 0 + -7
20x = 0 + -7

Combine like terms: 0 + -7 = -7
20x = -7

Divide each side by '20'.
x = -0.35

Simplifying
x = -0.35
Solution
x = {3, -0.35}

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