3x(x-5)=7x^2-16xfactor

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Solution for 3x(x-5)=7x^2-16xfactor equation: 


Simplifying
3x(x + -5) = 7x2 + -16xfactor

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

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

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

Solving for variable 'x'.

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

Combine like terms: 3x2 + -7x2 = -4x2
16acfortx + -15x + -4x2 = -16acfortx + 7x2 + 16acfortx + -7x2

Reorder the terms:
16acfortx + -15x + -4x2 = -16acfortx + 16acfortx + 7x2 + -7x2

Combine like terms: -16acfortx + 16acfortx = 0
16acfortx + -15x + -4x2 = 0 + 7x2 + -7x2
16acfortx + -15x + -4x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
16acfortx + -15x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(16acfort + -15 + -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 '(16acfort + -15 + -4x)' equal to zero and attempt to solve:

Simplifying
16acfort + -15 + -4x = 0

Reorder the terms:
-15 + 16acfort + -4x = 0

Solving
-15 + 16acfort + -4x = 0

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

Add '15' to each side of the equation.
-15 + 16acfort + 15 + -4x = 0 + 15

Reorder the terms:
-15 + 15 + 16acfort + -4x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 16acfort + -4x = 0 + 15
16acfort + -4x = 0 + 15

Combine like terms: 0 + 15 = 15
16acfort + -4x = 15

Add '-16acfort' to each side of the equation.
16acfort + -16acfort + -4x = 15 + -16acfort

Combine like terms: 16acfort + -16acfort = 0
0 + -4x = 15 + -16acfort
-4x = 15 + -16acfort

Divide each side by '-4'.
x = -3.75 + 4acfort

Simplifying
x = -3.75 + 4acfort
Solution
x = {0, -3.75 + 4acfort}

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