4x^2+100x=600

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Solution for 4x^2+100x=600 equation:


Simplifying
4x2 + 100x = 600

Reorder the terms:
100x + 4x2 = 600

Solving
100x + 4x2 = 600

Solving for variable 'x'.

Reorder the terms:
-600 + 100x + 4x2 = 600 + -600

Combine like terms: 600 + -600 = 0
-600 + 100x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-150 + 25x + x2) = 0

Factor a trinomial.
4((-30 + -1x)(5 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-30 + -1x)' equal to zero and attempt to solve: Simplifying -30 + -1x = 0 Solving -30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -1x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = 0 + 30 -1x = 0 + 30 Combine like terms: 0 + 30 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-30, 5}

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