16x^2=56x

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Solution for 16x^2=56x equation:


Simplifying
16x2 = 56x

Solving
16x2 = 56x

Solving for variable 'x'.

Reorder the terms:
-56x + 16x2 = 56x + -56x

Combine like terms: 56x + -56x = 0
-56x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '8x'.
8x(-7 + 2x) = 0

Ignore the factor 8.

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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