0=3x^2-52x+160

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Solution for 0=3x^2-52x+160 equation:


Simplifying
0 = 3x2 + -52x + 160

Reorder the terms:
0 = 160 + -52x + 3x2

Solving
0 = 160 + -52x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -160 = -160
-160 + 52x + -3x2 = 160 + -52x + 3x2 + -160 + 52x + -3x2

Reorder the terms:
-160 + 52x + -3x2 = 160 + -160 + -52x + 52x + 3x2 + -3x2

Combine like terms: 160 + -160 = 0
-160 + 52x + -3x2 = 0 + -52x + 52x + 3x2 + -3x2
-160 + 52x + -3x2 = -52x + 52x + 3x2 + -3x2

Combine like terms: -52x + 52x = 0
-160 + 52x + -3x2 = 0 + 3x2 + -3x2
-160 + 52x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-160 + 52x + -3x2 = 0

Factor a trinomial.
(-40 + 3x)(4 + -1x) = 0

Subproblem 1

Set the factor '(-40 + 3x)' equal to zero and attempt to solve: Simplifying -40 + 3x = 0 Solving -40 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 3x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 3x = 0 + 40 3x = 0 + 40 Combine like terms: 0 + 40 = 40 3x = 40 Divide each side by '3'. x = 13.33333333 Simplifying x = 13.33333333

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 = {13.33333333, 4}

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