-150x^2+150(450-x)(450-x)+7560(390-x)=0

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Solution for -150x^2+150(450-x)(450-x)+7560(390-x)=0 equation:


Simplifying
-150x2 + 150(450 + -1x)(450 + -1x) + 7560(390 + -1x) = 0

Multiply (450 + -1x) * (450 + -1x)
-150x2 + 150(450(450 + -1x) + -1x * (450 + -1x)) + 7560(390 + -1x) = 0
-150x2 + 150((450 * 450 + -1x * 450) + -1x * (450 + -1x)) + 7560(390 + -1x) = 0
-150x2 + 150((202500 + -450x) + -1x * (450 + -1x)) + 7560(390 + -1x) = 0
-150x2 + 150(202500 + -450x + (450 * -1x + -1x * -1x)) + 7560(390 + -1x) = 0
-150x2 + 150(202500 + -450x + (-450x + 1x2)) + 7560(390 + -1x) = 0

Combine like terms: -450x + -450x = -900x
-150x2 + 150(202500 + -900x + 1x2) + 7560(390 + -1x) = 0
-150x2 + (202500 * 150 + -900x * 150 + 1x2 * 150) + 7560(390 + -1x) = 0
-150x2 + (30375000 + -135000x + 150x2) + 7560(390 + -1x) = 0
-150x2 + 30375000 + -135000x + 150x2 + (390 * 7560 + -1x * 7560) = 0
-150x2 + 30375000 + -135000x + 150x2 + (2948400 + -7560x) = 0

Reorder the terms:
30375000 + 2948400 + -135000x + -7560x + -150x2 + 150x2 = 0

Combine like terms: 30375000 + 2948400 = 33323400
33323400 + -135000x + -7560x + -150x2 + 150x2 = 0

Combine like terms: -135000x + -7560x = -142560x
33323400 + -142560x + -150x2 + 150x2 = 0

Combine like terms: -150x2 + 150x2 = 0
33323400 + -142560x + 0 = 0
33323400 + -142560x = 0

Solving
33323400 + -142560x = 0

Solving for variable 'x'.

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

Add '-33323400' to each side of the equation.
33323400 + -33323400 + -142560x = 0 + -33323400

Combine like terms: 33323400 + -33323400 = 0
0 + -142560x = 0 + -33323400
-142560x = 0 + -33323400

Combine like terms: 0 + -33323400 = -33323400
-142560x = -33323400

Divide each side by '-142560'.
x = 233.75

Simplifying
x = 233.75

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