49x^2-28x-252=0

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Solution for 49x^2-28x-252=0 equation: 


Simplifying
49x2 + -28x + -252 = 0

Reorder the terms:
-252 + -28x + 49x2 = 0

Solving
-252 + -28x + 49x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-36 + -4x + 7x2) = 0

Factor a trinomial.
7((-2 + -1x)(18 + -7x)) = 0

Ignore the factor 7.

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 '(18 + -7x)' equal to zero and attempt to solve:

Simplifying
18 + -7x = 0

Solving
18 + -7x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -7x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -7x = 0 + -18
-7x = 0 + -18

Combine like terms: 0 + -18 = -18
-7x = -18

Divide each side by '-7'.
x = 2.571428571

Simplifying
x = 2.571428571
Solution
x = {-2, 2.571428571}

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