4x^2-20x+100=100

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Solution for 4x^2-20x+100=100 equation:


Simplifying
4x2 + -20x + 100 = 100

Reorder the terms:
100 + -20x + 4x2 = 100

Add '-100' to each side of the equation.
100 + -20x + -100 + 4x2 = 100 + -100

Reorder the terms:
100 + -100 + -20x + 4x2 = 100 + -100

Combine like terms: 100 + -100 = 0
0 + -20x + 4x2 = 100 + -100
-20x + 4x2 = 100 + -100

Combine like terms: 100 + -100 = 0
-20x + 4x2 = 0

Solving
-20x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-5 + x) = 0

Ignore the factor 4.

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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5

Solution

x = {0, 5}

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