600=1200-140x+(2x*2x)

Solution for 600=1200-140x+(2x*2x) equation:

Simplifying
600 = 1200 + -140x + (2x * 2x)

Reorder the terms for easier multiplication:
600 = 1200 + -140x + (2 * 2x * x)

Multiply 2 * 2
600 = 1200 + -140x + (4x * x)

Multiply x * x
600 = 1200 + -140x + (4x2)

Solving
600 = 1200 + -140x + (4x2)

Solving for variable 'x'.

Combine like terms: 600 + -1200 = -600
-600 + 140x + (-4x2) = 1200 + -140x + (4x2) + -1200 + 140x + (-4x2)

Reorder the terms:
-600 + 140x + (-4x2) = 1200 + -1200 + -140x + 140x + (4x2) + (-4x2)

Combine like terms: 1200 + -1200 = 0
-600 + 140x + (-4x2) = 0 + -140x + 140x + (4x2) + (-4x2)
-600 + 140x + (-4x2) = -140x + 140x + (4x2) + (-4x2)

Combine like terms: -140x + 140x = 0
-600 + 140x + (-4x2) = 0 + (4x2) + (-4x2)
-600 + 140x + (-4x2) = (4x2) + (-4x2)

Combine like terms: (4x2) + (-4x2) = 0
-600 + 140x + (-4x2) = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-150 + 35x + (-1x2)) = 0

Factor a trinomial.
4((-30 + x)(5 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-30 + x)' equal to zero and attempt to solve:

Simplifying
-30 + x = 0

Solving
-30 + x = 0

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

Add '30' to each side of the equation.
-30 + 30 + x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + x = 0 + 30
x = 0 + 30

Combine like terms: 0 + 30 = 30
x = 30

Simplifying
x = 30
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {30, 5}