=5x(2x-7)

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Solution for =5x(2x-7) equation: 


Simplifying
0 = 5x(2x + -7)

Reorder the terms:
0 = 5x(-7 + 2x)
0 = (-7 * 5x + 2x * 5x)
0 = (-35x + 10x2)

Solving
0 = -35x + 10x2

Solving for variable 'x'.
Remove the zero:
35x + -10x2 = -35x + 10x2 + 35x + -10x2

Reorder the terms:
35x + -10x2 = -35x + 35x + 10x2 + -10x2

Combine like terms: -35x + 35x = 0
35x + -10x2 = 0 + 10x2 + -10x2
35x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
35x + -10x2 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(7 + -2x) = 0

Ignore the factor 5.

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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