200x^2-9400x+98898=0

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Solution for 200x^2-9400x+98898=0 equation:


Simplifying
200x2 + -9400x + 98898 = 0

Reorder the terms:
98898 + -9400x + 200x2 = 0

Solving
98898 + -9400x + 200x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(49449 + -4700x + 100x2) = 0

Factor a trinomial.
2((159 + -10x)(311 + -10x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(159 + -10x)' equal to zero and attempt to solve: Simplifying 159 + -10x = 0 Solving 159 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-159' to each side of the equation. 159 + -159 + -10x = 0 + -159 Combine like terms: 159 + -159 = 0 0 + -10x = 0 + -159 -10x = 0 + -159 Combine like terms: 0 + -159 = -159 -10x = -159 Divide each side by '-10'. x = 15.9 Simplifying x = 15.9

Subproblem 2

Set the factor '(311 + -10x)' equal to zero and attempt to solve: Simplifying 311 + -10x = 0 Solving 311 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-311' to each side of the equation. 311 + -311 + -10x = 0 + -311 Combine like terms: 311 + -311 = 0 0 + -10x = 0 + -311 -10x = 0 + -311 Combine like terms: 0 + -311 = -311 -10x = -311 Divide each side by '-10'. x = 31.1 Simplifying x = 31.1

Solution

x = {15.9, 31.1}

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