70x^2-268x=5x-245

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Solution for 70x^2-268x=5x-245 equation: 


Simplifying
70x2 + -268x = 5x + -245

Reorder the terms:
-268x + 70x2 = 5x + -245

Reorder the terms:
-268x + 70x2 = -245 + 5x

Solving
-268x + 70x2 = -245 + 5x

Solving for variable 'x'.

Reorder the terms:
245 + -268x + -5x + 70x2 = -245 + 5x + 245 + -5x

Combine like terms: -268x + -5x = -273x
245 + -273x + 70x2 = -245 + 5x + 245 + -5x

Reorder the terms:
245 + -273x + 70x2 = -245 + 245 + 5x + -5x

Combine like terms: -245 + 245 = 0
245 + -273x + 70x2 = 0 + 5x + -5x
245 + -273x + 70x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
245 + -273x + 70x2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(35 + -39x + 10x2) = 0

Factor a trinomial.
7((7 + -5x)(5 + -2x)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(7 + -5x)' equal to zero and attempt to solve:

Simplifying
7 + -5x = 0

Solving
7 + -5x = 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 + -5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 0 + -7
-5x = 0 + -7

Combine like terms: 0 + -7 = -7
-5x = -7

Divide each side by '-5'.
x = 1.4

Simplifying
x = 1.4

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

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {1.4, 2.5}

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