3x(x-5)=7xsquare-16x

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Solution for 3x(x-5)=7xsquare-16x equation: 


Simplifying
3x(x + -5) = 7xsquare + -16x

Reorder the terms:
3x(-5 + x) = 7xsquare + -16x
(-5 * 3x + x * 3x) = 7xsquare + -16x
(-15x + 3x2) = 7xsquare + -16x

Solving
-15x + 3x2 = 7aeqrsux + -16x

Solving for variable 'x'.

Reorder the terms:
-7aeqrsux + -15x + 16x + 3x2 = 7aeqrsux + -16x + -7aeqrsux + 16x

Combine like terms: -15x + 16x = 1x
-7aeqrsux + 1x + 3x2 = 7aeqrsux + -16x + -7aeqrsux + 16x

Reorder the terms:
-7aeqrsux + 1x + 3x2 = 7aeqrsux + -7aeqrsux + -16x + 16x

Combine like terms: 7aeqrsux + -7aeqrsux = 0
-7aeqrsux + 1x + 3x2 = 0 + -16x + 16x
-7aeqrsux + 1x + 3x2 = -16x + 16x

Combine like terms: -16x + 16x = 0
-7aeqrsux + 1x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7aeqrsu + 1 + 3x) = 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 '(-7aeqrsu + 1 + 3x)' equal to zero and attempt to solve:

Simplifying
-7aeqrsu + 1 + 3x = 0

Reorder the terms:
1 + -7aeqrsu + 3x = 0

Solving
1 + -7aeqrsu + 3x = 0

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

Add '-1' to each side of the equation.
1 + -7aeqrsu + -1 + 3x = 0 + -1

Reorder the terms:
1 + -1 + -7aeqrsu + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7aeqrsu + 3x = 0 + -1
-7aeqrsu + 3x = 0 + -1

Combine like terms: 0 + -1 = -1
-7aeqrsu + 3x = -1

Add '7aeqrsu' to each side of the equation.
-7aeqrsu + 7aeqrsu + 3x = -1 + 7aeqrsu

Combine like terms: -7aeqrsu + 7aeqrsu = 0
0 + 3x = -1 + 7aeqrsu
3x = -1 + 7aeqrsu

Divide each side by '3'.
x = -0.3333333333 + 2.333333333aeqrsu

Simplifying
x = -0.3333333333 + 2.333333333aeqrsu
Solution
x = {0, -0.3333333333 + 2.333333333aeqrsu}

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