15x(4x-6)=7x

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Solution for 15x(4x-6)=7x equation: 


Simplifying
15x(4x + -6) = 7x

Reorder the terms:
15x(-6 + 4x) = 7x
(-6 * 15x + 4x * 15x) = 7x
(-90x + 60x2) = 7x

Solving
-90x + 60x2 = 7x

Solving for variable 'x'.

Reorder the terms:
-90x + -7x + 60x2 = 7x + -7x

Combine like terms: -90x + -7x = -97x
-97x + 60x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-97x + 60x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-97 + 60x) = 0


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 '(-97 + 60x)' equal to zero and attempt to solve:

Simplifying
-97 + 60x = 0

Solving
-97 + 60x = 0

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

Add '97' to each side of the equation.
-97 + 97 + 60x = 0 + 97

Combine like terms: -97 + 97 = 0
0 + 60x = 0 + 97
60x = 0 + 97

Combine like terms: 0 + 97 = 97
60x = 97

Divide each side by '60'.
x = 1.616666667

Simplifying
x = 1.616666667
Solution
x = {0, 1.616666667}

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