If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y2 + -10y + 25 = 3y + 5 Reorder the terms: 25 + -10y + y2 = 3y + 5 Reorder the terms: 25 + -10y + y2 = 5 + 3y Solving 25 + -10y + y2 = 5 + 3y Solving for variable 'y'. Reorder the terms: 25 + -5 + -10y + -3y + y2 = 5 + 3y + -5 + -3y Combine like terms: 25 + -5 = 20 20 + -10y + -3y + y2 = 5 + 3y + -5 + -3y Combine like terms: -10y + -3y = -13y 20 + -13y + y2 = 5 + 3y + -5 + -3y Reorder the terms: 20 + -13y + y2 = 5 + -5 + 3y + -3y Combine like terms: 5 + -5 = 0 20 + -13y + y2 = 0 + 3y + -3y 20 + -13y + y2 = 3y + -3y Combine like terms: 3y + -3y = 0 20 + -13y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + -13y + -20 + y2 = 0 + -20 Reorder the terms: 20 + -20 + -13y + y2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -13y + y2 = 0 + -20 -13y + y2 = 0 + -20 Combine like terms: 0 + -20 = -20 -13y + y2 = -20 The y term is -13y. Take half its coefficient (-6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. -13y + 42.25 + y2 = -20 + 42.25 Reorder the terms: 42.25 + -13y + y2 = -20 + 42.25 Combine like terms: -20 + 42.25 = 22.25 42.25 + -13y + y2 = 22.25 Factor a perfect square on the left side: (y + -6.5)(y + -6.5) = 22.25 Calculate the square root of the right side: 4.716990566 Break this problem into two subproblems by setting (y + -6.5) equal to 4.716990566 and -4.716990566.Subproblem 1
y + -6.5 = 4.716990566 Simplifying y + -6.5 = 4.716990566 Reorder the terms: -6.5 + y = 4.716990566 Solving -6.5 + y = 4.716990566 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + y = 4.716990566 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + y = 4.716990566 + 6.5 y = 4.716990566 + 6.5 Combine like terms: 4.716990566 + 6.5 = 11.216990566 y = 11.216990566 Simplifying y = 11.216990566Subproblem 2
y + -6.5 = -4.716990566 Simplifying y + -6.5 = -4.716990566 Reorder the terms: -6.5 + y = -4.716990566 Solving -6.5 + y = -4.716990566 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + y = -4.716990566 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + y = -4.716990566 + 6.5 y = -4.716990566 + 6.5 Combine like terms: -4.716990566 + 6.5 = 1.783009434 y = 1.783009434 Simplifying y = 1.783009434Solution
The solution to the problem is based on the solutions from the subproblems. y = {11.216990566, 1.783009434}
| 42+343a=48a+49 | | 7t^2+28t+56=0 | | 8r-6=10 | | 1=3r+4 | | 3(1+b)-5=3b-2 | | 413.4=-15.9n | | 4(1)-(-3)=2 | | 1=3r+4+1 | | 6(n-4)=3(n+3) | | 3x^3-24x^2=0 | | -3x+11+4x=5+x+6 | | 7(-5x-9)=5x+17 | | 4(2)+y=15 | | x^2+x-50=5x-5 | | 5a+4(3a-8)=7x+13a | | 3(2-1a)=42 | | Y-13=-10(x+7) | | 16x^3+48x^2-25x-75=0 | | 3x+5(2x-1)=6 | | 9u^2-8u+1=0 | | 28-11x=11+6x | | 5.4t+14.6-10.1=12.8-3.5t-0.6 | | 8x-7=4x+1 | | 35x^2+22x-24=0 | | 14-6(6-3c)=4c-c | | 5x-6(2)=33 | | 2(2x+4)=2(.5-x) | | 0=2x^3+6x^2-8 | | 0=3r+4+1 | | 3y+1=15-4y | | 15x^4-13x^2+2=0 | | 301+240=501-16 |