(x*x)+4x=7x

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Solution for (x*x)+4x=7x equation: 


Simplifying
(x * x) + 4x = 7x

Multiply x * x
(x2) + 4x = 7x
x2 + 4x = 7x

Reorder the terms:
4x + x2 = 7x

Solving
4x + x2 = 7x

Solving for variable 'x'.

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

Combine like terms: 4x + -7x = -3x
-3x + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-3x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3 + x) = 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 '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Simplifying
x = 3
Solution
x = {0, 3}

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