4x^2-106x+196=0

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Solution for 4x^2-106x+196=0 equation:


Simplifying
4x2 + -106x + 196 = 0

Reorder the terms:
196 + -106x + 4x2 = 0

Solving
196 + -106x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(98 + -53x + 2x2) = 0

Factor a trinomial.
2((2 + -1x)(49 + -2x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Subproblem 2

Set the factor '(49 + -2x)' equal to zero and attempt to solve: Simplifying 49 + -2x = 0 Solving 49 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -2x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -2x = 0 + -49 -2x = 0 + -49 Combine like terms: 0 + -49 = -49 -2x = -49 Divide each side by '-2'. x = 24.5 Simplifying x = 24.5

Solution

x = {2, 24.5}

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