2x(x-7)=-3x

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Solution for 2x(x-7)=-3x equation: 


Simplifying
2x(x + -7) = -3x

Reorder the terms:
2x(-7 + x) = -3x
(-7 * 2x + x * 2x) = -3x
(-14x + 2x2) = -3x

Solving
-14x + 2x2 = -3x

Solving for variable 'x'.

Reorder the terms:
-14x + 3x + 2x2 = -3x + 3x

Combine like terms: -14x + 3x = -11x
-11x + 2x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-11x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-11 + 2x) = 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 '(-11 + 2x)' equal to zero and attempt to solve:

Simplifying
-11 + 2x = 0

Solving
-11 + 2x = 0

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

Add '11' to each side of the equation.
-11 + 11 + 2x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 2x = 0 + 11
2x = 0 + 11

Combine like terms: 0 + 11 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5
Solution
x = {0, 5.5}

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