0=10x^2-39x+14

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Solution for 0=10x^2-39x+14 equation: 


Simplifying
0 = 10x2 + -39x + 14

Reorder the terms:
0 = 14 + -39x + 10x2

Solving
0 = 14 + -39x + 10x2

Solving for variable 'x'.

Combine like terms: 0 + -14 = -14
-14 + 39x + -10x2 = 14 + -39x + 10x2 + -14 + 39x + -10x2

Reorder the terms:
-14 + 39x + -10x2 = 14 + -14 + -39x + 39x + 10x2 + -10x2

Combine like terms: 14 + -14 = 0
-14 + 39x + -10x2 = 0 + -39x + 39x + 10x2 + -10x2
-14 + 39x + -10x2 = -39x + 39x + 10x2 + -10x2

Combine like terms: -39x + 39x = 0
-14 + 39x + -10x2 = 0 + 10x2 + -10x2
-14 + 39x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-14 + 39x + -10x2 = 0

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


Subproblem 1
Set the factor '(-7 + 2x)' equal to zero and attempt to solve:

Simplifying
-7 + 2x = 0

Solving
-7 + 2x = 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 + 2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 0 + 7
2x = 0 + 7

Combine like terms: 0 + 7 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

Subproblem 2
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
Solution
x = {3.5, 0.4}

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