4x(x-3)=7x

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Solution for 4x(x-3)=7x equation: 


Simplifying
4x(x + -3) = 7x

Reorder the terms:
4x(-3 + x) = 7x
(-3 * 4x + x * 4x) = 7x
(-12x + 4x2) = 7x

Solving
-12x + 4x2 = 7x

Solving for variable 'x'.

Reorder the terms:
-12x + -7x + 4x2 = 7x + -7x

Combine like terms: -12x + -7x = -19x
-19x + 4x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-19x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-19 + 4x) = 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 '(-19 + 4x)' equal to zero and attempt to solve:

Simplifying
-19 + 4x = 0

Solving
-19 + 4x = 0

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

Add '19' to each side of the equation.
-19 + 19 + 4x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 4x = 0 + 19
4x = 0 + 19

Combine like terms: 0 + 19 = 19
4x = 19

Divide each side by '4'.
x = 4.75

Simplifying
x = 4.75
Solution
x = {0, 4.75}

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