4x^2+140x+1200=2376

Solution for 4x^2+140x+1200=2376 equation:

Simplifying
4x2 + 140x + 1200 = 2376

Reorder the terms:
1200 + 140x + 4x2 = 2376

Solving
1200 + 140x + 4x2 = 2376

Solving for variable 'x'.

Reorder the terms:
1200 + -2376 + 140x + 4x2 = 2376 + -2376

Combine like terms: 1200 + -2376 = -1176
-1176 + 140x + 4x2 = 2376 + -2376

Combine like terms: 2376 + -2376 = 0
-1176 + 140x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-294 + 35x + x2) = 0

Factor a trinomial.
4((-42 + -1x)(7 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-42 + -1x)' equal to zero and attempt to solve:

Simplifying
-42 + -1x = 0

Solving
-42 + -1x = 0

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

Add '42' to each side of the equation.
-42 + 42 + -1x = 0 + 42

Combine like terms: -42 + 42 = 0
0 + -1x = 0 + 42
-1x = 0 + 42

Combine like terms: 0 + 42 = 42
-1x = 42

Divide each side by '-1'.
x = -42

Simplifying
x = -42
Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-42, 7}