0=3x^2+140x-4900

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Solution for 0=3x^2+140x-4900 equation: 


Simplifying
0 = 3x2 + 140x + -4900

Reorder the terms:
0 = -4900 + 140x + 3x2

Solving
0 = -4900 + 140x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 4900 = 4900
4900 + -140x + -3x2 = -4900 + 140x + 3x2 + 4900 + -140x + -3x2

Reorder the terms:
4900 + -140x + -3x2 = -4900 + 4900 + 140x + -140x + 3x2 + -3x2

Combine like terms: -4900 + 4900 = 0
4900 + -140x + -3x2 = 0 + 140x + -140x + 3x2 + -3x2
4900 + -140x + -3x2 = 140x + -140x + 3x2 + -3x2

Combine like terms: 140x + -140x = 0
4900 + -140x + -3x2 = 0 + 3x2 + -3x2
4900 + -140x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
4900 + -140x + -3x2 = 0

Factor a trinomial.
(70 + -3x)(70 + x) = 0


Subproblem 1
Set the factor '(70 + -3x)' equal to zero and attempt to solve:

Simplifying
70 + -3x = 0

Solving
70 + -3x = 0

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

Add '-70' to each side of the equation.
70 + -70 + -3x = 0 + -70

Combine like terms: 70 + -70 = 0
0 + -3x = 0 + -70
-3x = 0 + -70

Combine like terms: 0 + -70 = -70
-3x = -70

Divide each side by '-3'.
x = 23.33333333

Simplifying
x = 23.33333333

Subproblem 2
Set the factor '(70 + x)' equal to zero and attempt to solve:

Simplifying
70 + x = 0

Solving
70 + x = 0

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

Add '-70' to each side of the equation.
70 + -70 + x = 0 + -70

Combine like terms: 70 + -70 = 0
0 + x = 0 + -70
x = 0 + -70

Combine like terms: 0 + -70 = -70
x = -70

Simplifying
x = -70
Solution
x = {23.33333333, -70}

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