(2x^2)-(7x)=0

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Solution for (2x^2)-(7x)=0 equation: 


Simplifying
(2x2) + -1(7x) = 0

Remove parenthesis around (7x)
(2x2) + -1 * 7x = 0

Multiply -1 * 7
(2x2) + -7x = 0

Reorder the terms:
-7x + (2x2) = 0

Solving
-7x + (2x2) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + (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 '(-7 + (2x))' equal to zero and attempt to solve:

Simplifying
-7 + (2x) = 0

Solving
-7 + (2x) = 0

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

Add '7' to each side of the equation.
-7 + 7 + (2x) = 0 + 7

Combine like terms: -7 + 7 = 0
0 + (2x) = 0 + 7
(2x) = 0 + 7

Combine like terms: 0 + 7 = 7
(2x) = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {0, 3.5}

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