2x(5x-2)=230

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Solution for 2x(5x-2)=230 equation: 


Simplifying
2x(5x + -2) = 230

Reorder the terms:
2x(-2 + 5x) = 230
(-2 * 2x + 5x * 2x) = 230
(-4x + 10x2) = 230

Solving
-4x + 10x2 = 230

Solving for variable 'x'.

Reorder the terms:
-230 + -4x + 10x2 = 230 + -230

Combine like terms: 230 + -230 = 0
-230 + -4x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-115 + -2x + 5x2) = 0

Factor a trinomial.
2((-23 + -5x)(5 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-23 + -5x)' equal to zero and attempt to solve:

Simplifying
-23 + -5x = 0

Solving
-23 + -5x = 0

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

Add '23' to each side of the equation.
-23 + 23 + -5x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -5x = 0 + 23
-5x = 0 + 23

Combine like terms: 0 + 23 = 23
-5x = 23

Divide each side by '-5'.
x = -4.6

Simplifying
x = -4.6

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

Simplifying
5 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-4.6, 5}

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