40x-5x^2=60

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Solution for 40x-5x^2=60 equation:


Simplifying
40x + -5x2 = 60

Solving
40x + -5x2 = 60

Solving for variable 'x'.

Reorder the terms:
-60 + 40x + -5x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + 40x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-12 + 8x + -1x2) = 0

Factor a trinomial.
5((-6 + x)(2 + -1x)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6

Subproblem 2

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

Solution

x = {6, 2}

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