5x(2x-1)=7x

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Solution for 5x(2x-1)=7x equation: 


Simplifying
5x(2x + -1) = 7x

Reorder the terms:
5x(-1 + 2x) = 7x
(-1 * 5x + 2x * 5x) = 7x
(-5x + 10x2) = 7x

Solving
-5x + 10x2 = 7x

Solving for variable 'x'.

Reorder the terms:
-5x + -7x + 10x2 = 7x + -7x

Combine like terms: -5x + -7x = -12x
-12x + 10x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-12x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-6 + 5x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-6 + 5x)' equal to zero and attempt to solve:

Simplifying
-6 + 5x = 0

Solving
-6 + 5x = 0

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

Add '6' to each side of the equation.
-6 + 6 + 5x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 0 + 6
5x = 0 + 6

Combine like terms: 0 + 6 = 6
5x = 6

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {0, 1.2}

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