20x^2-17x=10x+14

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Solution for 20x^2-17x=10x+14 equation: 


Simplifying
20x2 + -17x = 10x + 14

Reorder the terms:
-17x + 20x2 = 10x + 14

Reorder the terms:
-17x + 20x2 = 14 + 10x

Solving
-17x + 20x2 = 14 + 10x

Solving for variable 'x'.

Reorder the terms:
-14 + -17x + -10x + 20x2 = 14 + 10x + -14 + -10x

Combine like terms: -17x + -10x = -27x
-14 + -27x + 20x2 = 14 + 10x + -14 + -10x

Reorder the terms:
-14 + -27x + 20x2 = 14 + -14 + 10x + -10x

Combine like terms: 14 + -14 = 0
-14 + -27x + 20x2 = 0 + 10x + -10x
-14 + -27x + 20x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-14 + -27x + 20x2 = 0

Factor a trinomial.
(-2 + -5x)(7 + -4x) = 0


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

Simplifying
-2 + -5x = 0

Solving
-2 + -5x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -5x = 0 + 2

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

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

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 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 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75
Solution
x = {-0.4, 1.75}

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