14=x(5x-3)

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Solution for 14=x(5x-3) equation: 


Simplifying
14 = x(5x + -3)

Reorder the terms:
14 = x(-3 + 5x)
14 = (-3 * x + 5x * x)
14 = (-3x + 5x2)

Solving
14 = -3x + 5x2

Solving for variable 'x'.

Reorder the terms:
14 + 3x + -5x2 = -3x + 3x + 5x2 + -5x2

Combine like terms: -3x + 3x = 0
14 + 3x + -5x2 = 0 + 5x2 + -5x2
14 + 3x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
14 + 3x + -5x2 = 0

Factor a trinomial.
(2 + -1x)(7 + 5x) = 0


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
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
Solution
x = {2, -1.4}

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