10x^2=70x

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Solution for 10x^2=70x equation:


Simplifying
10x2 = 70x

Solving
10x2 = 70x

Solving for variable 'x'.

Reorder the terms:
-70x + 10x2 = 70x + -70x

Combine like terms: 70x + -70x = 0
-70x + 10x2 = 0

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

Ignore the factor 10.

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 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 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 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7

Solution

x = {0, 7}

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