x^2(7x-5(2))=0

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Solution for x^2(7x-5(2))=0 equation: 


Simplifying
x2(7x + -5(2)) = 0

Multiply -5 * 2
x2(7x + -10) = 0

Reorder the terms:
x2(-10 + 7x) = 0
(-10 * x2 + 7x * x2) = 0
(-10x2 + 7x3) = 0

Solving
-10x2 + 7x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-10 + 7x) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-10 + 7x)' equal to zero and attempt to solve:

Simplifying
-10 + 7x = 0

Solving
-10 + 7x = 0

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

Add '10' to each side of the equation.
-10 + 10 + 7x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 7x = 0 + 10
7x = 0 + 10

Combine like terms: 0 + 10 = 10
7x = 10

Divide each side by '7'.
x = 1.428571429

Simplifying
x = 1.428571429
Solution
x = {0, 1.428571429}

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