If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y2 + 45y + -63 = 0 Reorder the terms: -63 + 45y + y2 = 0 Solving -63 + 45y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '63' to each side of the equation. -63 + 45y + 63 + y2 = 0 + 63 Reorder the terms: -63 + 63 + 45y + y2 = 0 + 63 Combine like terms: -63 + 63 = 0 0 + 45y + y2 = 0 + 63 45y + y2 = 0 + 63 Combine like terms: 0 + 63 = 63 45y + y2 = 63 The y term is 45y. Take half its coefficient (22.5). Square it (506.25) and add it to both sides. Add '506.25' to each side of the equation. 45y + 506.25 + y2 = 63 + 506.25 Reorder the terms: 506.25 + 45y + y2 = 63 + 506.25 Combine like terms: 63 + 506.25 = 569.25 506.25 + 45y + y2 = 569.25 Factor a perfect square on the left side: (y + 22.5)(y + 22.5) = 569.25 Calculate the square root of the right side: 23.858960581 Break this problem into two subproblems by setting (y + 22.5) equal to 23.858960581 and -23.858960581.Subproblem 1
y + 22.5 = 23.858960581 Simplifying y + 22.5 = 23.858960581 Reorder the terms: 22.5 + y = 23.858960581 Solving 22.5 + y = 23.858960581 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-22.5' to each side of the equation. 22.5 + -22.5 + y = 23.858960581 + -22.5 Combine like terms: 22.5 + -22.5 = 0.0 0.0 + y = 23.858960581 + -22.5 y = 23.858960581 + -22.5 Combine like terms: 23.858960581 + -22.5 = 1.358960581 y = 1.358960581 Simplifying y = 1.358960581Subproblem 2
y + 22.5 = -23.858960581 Simplifying y + 22.5 = -23.858960581 Reorder the terms: 22.5 + y = -23.858960581 Solving 22.5 + y = -23.858960581 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-22.5' to each side of the equation. 22.5 + -22.5 + y = -23.858960581 + -22.5 Combine like terms: 22.5 + -22.5 = 0.0 0.0 + y = -23.858960581 + -22.5 y = -23.858960581 + -22.5 Combine like terms: -23.858960581 + -22.5 = -46.358960581 y = -46.358960581 Simplifying y = -46.358960581Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.358960581, -46.358960581}
| 1/2(6-a)=a | | 8x+17=-29+16x | | 8+-3=9 | | 3k-1= | | -6=5n+5+4 | | -3(-4x+5)=17 | | 15-4x=75 | | 4+8y=11y-17 | | 24-6x+2x=12 | | 5j= | | 12*1x-17=20 | | x+3(x-1)=13 | | 3x-5y=-4 | | 26=5(w+4)-8w | | 2+4b=2+2b | | 4x=15+1X | | 5x^2-41x+8= | | 5x-4=180 | | 13-1x*14=9 | | 5(w)=84 | | 50-23d-d^2=0 | | x-9+3x=-14 | | 1=2u+7 | | -5(2x+-10)=-35x+50+25x | | 1=7+2 | | 7.50+1m=2.50m | | y^3-4y^2+3y=o | | 14x-(-3)=5 | | 5(2n+3)-5=-70 | | 17x*6x-4*3=10 | | 0=x^2-10x+24 | | 5(40x-260)-25(80-20x)=226 |