4x^2+25=20x

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Solution for 4x^2+25=20x equation:


Simplifying
4x2 + 25 = 20x

Reorder the terms:
25 + 4x2 = 20x

Solving
25 + 4x2 = 20x

Solving for variable 'x'.

Reorder the terms:
25 + -20x + 4x2 = 20x + -20x

Combine like terms: 20x + -20x = 0
25 + -20x + 4x2 = 0

Factor a trinomial.
(5 + -2x)(5 + -2x) = 0

Subproblem 1

Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5

Subproblem 2

Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5

Solution

x = {2.5, 2.5}

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