25x^2+70x+49=144

Solution for 25x^2+70x+49=144 equation:

Simplifying
25x2 + 70x + 49 = 144

Reorder the terms:
49 + 70x + 25x2 = 144

Solving
49 + 70x + 25x2 = 144

Solving for variable 'x'.

Reorder the terms:
49 + -144 + 70x + 25x2 = 144 + -144

Combine like terms: 49 + -144 = -95
-95 + 70x + 25x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-95 + 70x + 25x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-19 + 14x + 5x2) = 0

Factor a trinomial.
5((-19 + -5x)(1 + -1x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-19 + -5x)' equal to zero and attempt to solve:

Simplifying
-19 + -5x = 0

Solving
-19 + -5x = 0

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

Add '19' to each side of the equation.
-19 + 19 + -5x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -5x = 0 + 19
-5x = 0 + 19

Combine like terms: 0 + 19 = 19
-5x = 19

Divide each side by '-5'.
x = -3.8

Simplifying
x = -3.8
Subproblem 2
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
Solution
x = {-3.8, 1}