48=-6x^2+36x

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Solution for 48=-6x^2+36x equation:


Simplifying
48 = -6x2 + 36x

Reorder the terms:
48 = 36x + -6x2

Solving
48 = 36x + -6x2

Solving for variable 'x'.

Reorder the terms:
48 + -36x + 6x2 = 36x + -36x + -6x2 + 6x2

Combine like terms: 36x + -36x = 0
48 + -36x + 6x2 = 0 + -6x2 + 6x2
48 + -36x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
48 + -36x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(8 + -6x + x2) = 0

Factor a trinomial.
6((2 + -1x)(4 + -1x)) = 0

Ignore the factor 6.

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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {2, 4}

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