If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4y2 + 15y + 6 = 0 Reorder the terms: 6 + 15y + 4y2 = 0 Solving 6 + 15y + 4y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.5 + 3.75y + y2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 3.75y + -1.5 + y2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 3.75y + y2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 3.75y + y2 = 0 + -1.5 3.75y + y2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 3.75y + y2 = -1.5 The y term is 3.75y. Take half its coefficient (1.875). Square it (3.515625) and add it to both sides. Add '3.515625' to each side of the equation. 3.75y + 3.515625 + y2 = -1.5 + 3.515625 Reorder the terms: 3.515625 + 3.75y + y2 = -1.5 + 3.515625 Combine like terms: -1.5 + 3.515625 = 2.015625 3.515625 + 3.75y + y2 = 2.015625 Factor a perfect square on the left side: (y + 1.875)(y + 1.875) = 2.015625 Calculate the square root of the right side: 1.419727086 Break this problem into two subproblems by setting (y + 1.875) equal to 1.419727086 and -1.419727086.Subproblem 1
y + 1.875 = 1.419727086 Simplifying y + 1.875 = 1.419727086 Reorder the terms: 1.875 + y = 1.419727086 Solving 1.875 + y = 1.419727086 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.875' to each side of the equation. 1.875 + -1.875 + y = 1.419727086 + -1.875 Combine like terms: 1.875 + -1.875 = 0.000 0.000 + y = 1.419727086 + -1.875 y = 1.419727086 + -1.875 Combine like terms: 1.419727086 + -1.875 = -0.455272914 y = -0.455272914 Simplifying y = -0.455272914Subproblem 2
y + 1.875 = -1.419727086 Simplifying y + 1.875 = -1.419727086 Reorder the terms: 1.875 + y = -1.419727086 Solving 1.875 + y = -1.419727086 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.875' to each side of the equation. 1.875 + -1.875 + y = -1.419727086 + -1.875 Combine like terms: 1.875 + -1.875 = 0.000 0.000 + y = -1.419727086 + -1.875 y = -1.419727086 + -1.875 Combine like terms: -1.419727086 + -1.875 = -3.294727086 y = -3.294727086 Simplifying y = -3.294727086Solution
The solution to the problem is based on the solutions from the subproblems. y = {-0.455272914, -3.294727086}
| 5b^2-19b+18=0 | | 9k-7k=4 | | 6(n+5)=84 | | 4(2x+5)=15 | | 10r^2+76r+140=0 | | 3v+17=-7(-7-6v)-7v | | 4x-20-21=0 | | 3x+8(2t-6)=2+14x | | 5(n+2)=.6(5+10m) | | 31+12x=42 | | (1/7)3=X | | -5-2x=7x-104 | | 2x-78=118-5x | | 6x+8=5x-12 | | (9x+2y)(8x-4y)= | | 5x-5=-17-7x | | 19=x+3 | | 2x^2+7x-3=19 | | -32-4x=-8x+4(x-8) | | 1/x+x/5=1/15 | | 1/x-x/5=1/15 | | X^2-x+4=16 | | 7x-12=5x-22c | | 0.1(x+20)+0.7=18 | | 3y^2+25y+28=0 | | -8(s+2)=20 | | P+15=29 | | -2x-2=-37+3x | | 6x+5=8x-37 | | 15y-18=2(5y+6) | | y=-in(x) | | 10x^2-3x-9=-5 |