0=25x^2-70x+13

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Solution for 0=25x^2-70x+13 equation: 


Simplifying
0 = 25x2 + -70x + 13

Reorder the terms:
0 = 13 + -70x + 25x2

Solving
0 = 13 + -70x + 25x2

Solving for variable 'x'.

Combine like terms: 0 + -13 = -13
-13 + 70x + -25x2 = 13 + -70x + 25x2 + -13 + 70x + -25x2

Reorder the terms:
-13 + 70x + -25x2 = 13 + -13 + -70x + 70x + 25x2 + -25x2

Combine like terms: 13 + -13 = 0
-13 + 70x + -25x2 = 0 + -70x + 70x + 25x2 + -25x2
-13 + 70x + -25x2 = -70x + 70x + 25x2 + -25x2

Combine like terms: -70x + 70x = 0
-13 + 70x + -25x2 = 0 + 25x2 + -25x2
-13 + 70x + -25x2 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
-13 + 70x + -25x2 = 0

Factor a trinomial.
(-13 + 5x)(1 + -5x) = 0


Subproblem 1
Set the factor '(-13 + 5x)' equal to zero and attempt to solve:

Simplifying
-13 + 5x = 0

Solving
-13 + 5x = 0

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

Add '13' to each side of the equation.
-13 + 13 + 5x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 5x = 0 + 13
5x = 0 + 13

Combine like terms: 0 + 13 = 13
5x = 13

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6

Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve:

Simplifying
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

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

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

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2
Solution
x = {2.6, 0.2}

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