4x^2-90x+500=0

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Solution for 4x^2-90x+500=0 equation:


Simplifying
4x2 + -90x + 500 = 0

Reorder the terms:
500 + -90x + 4x2 = 0

Solving
500 + -90x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(250 + -45x + 2x2) = 0

Factor a trinomial.
2((10 + -1x)(25 + -2x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10

Subproblem 2

Set the factor '(25 + -2x)' equal to zero and attempt to solve: Simplifying 25 + -2x = 0 Solving 25 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -2x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -2x = 0 + -25 -2x = 0 + -25 Combine like terms: 0 + -25 = -25 -2x = -25 Divide each side by '-2'. x = 12.5 Simplifying x = 12.5

Solution

x = {10, 12.5}

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