0=3x^2-52x+140

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Solution for 0=3x^2-52x+140 equation: 


Simplifying
0 = 3x2 + -52x + 140

Reorder the terms:
0 = 140 + -52x + 3x2

Solving
0 = 140 + -52x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -140 = -140
-140 + 52x + -3x2 = 140 + -52x + 3x2 + -140 + 52x + -3x2

Reorder the terms:
-140 + 52x + -3x2 = 140 + -140 + -52x + 52x + 3x2 + -3x2

Combine like terms: 140 + -140 = 0
-140 + 52x + -3x2 = 0 + -52x + 52x + 3x2 + -3x2
-140 + 52x + -3x2 = -52x + 52x + 3x2 + -3x2

Combine like terms: -52x + 52x = 0
-140 + 52x + -3x2 = 0 + 3x2 + -3x2
-140 + 52x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-140 + 52x + -3x2 = 0

Factor a trinomial.
(-14 + x)(10 + -3x) = 0


Subproblem 1
Set the factor '(-14 + x)' equal to zero and attempt to solve:

Simplifying
-14 + x = 0

Solving
-14 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '14' to each side of the equation.
-14 + 14 + x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + x = 0 + 14
x = 0 + 14

Combine like terms: 0 + 14 = 14
x = 14

Simplifying
x = 14

Subproblem 2
Set the factor '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 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 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333
Solution
x = {14, 3.333333333}

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