If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4y2 = 14y + 1 Reorder the terms: 4y2 = 1 + 14y Solving 4y2 = 1 + 14y Solving for variable 'y'. Reorder the terms: -1 + -14y + 4y2 = 1 + 14y + -1 + -14y Reorder the terms: -1 + -14y + 4y2 = 1 + -1 + 14y + -14y Combine like terms: 1 + -1 = 0 -1 + -14y + 4y2 = 0 + 14y + -14y -1 + -14y + 4y2 = 14y + -14y Combine like terms: 14y + -14y = 0 -1 + -14y + 4y2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -0.25 + -3.5y + y2 = 0 Move the constant term to the right: Add '0.25' to each side of the equation. -0.25 + -3.5y + 0.25 + y2 = 0 + 0.25 Reorder the terms: -0.25 + 0.25 + -3.5y + y2 = 0 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + -3.5y + y2 = 0 + 0.25 -3.5y + y2 = 0 + 0.25 Combine like terms: 0 + 0.25 = 0.25 -3.5y + y2 = 0.25 The y term is -3.5y. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5y + 3.0625 + y2 = 0.25 + 3.0625 Reorder the terms: 3.0625 + -3.5y + y2 = 0.25 + 3.0625 Combine like terms: 0.25 + 3.0625 = 3.3125 3.0625 + -3.5y + y2 = 3.3125 Factor a perfect square on the left side: (y + -1.75)(y + -1.75) = 3.3125 Calculate the square root of the right side: 1.820027472 Break this problem into two subproblems by setting (y + -1.75) equal to 1.820027472 and -1.820027472.Subproblem 1
y + -1.75 = 1.820027472 Simplifying y + -1.75 = 1.820027472 Reorder the terms: -1.75 + y = 1.820027472 Solving -1.75 + y = 1.820027472 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + 1.75 + y = 1.820027472 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + y = 1.820027472 + 1.75 y = 1.820027472 + 1.75 Combine like terms: 1.820027472 + 1.75 = 3.570027472 y = 3.570027472 Simplifying y = 3.570027472Subproblem 2
y + -1.75 = -1.820027472 Simplifying y + -1.75 = -1.820027472 Reorder the terms: -1.75 + y = -1.820027472 Solving -1.75 + y = -1.820027472 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + 1.75 + y = -1.820027472 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + y = -1.820027472 + 1.75 y = -1.820027472 + 1.75 Combine like terms: -1.820027472 + 1.75 = -0.070027472 y = -0.070027472 Simplifying y = -0.070027472Solution
The solution to the problem is based on the solutions from the subproblems. y = {3.570027472, -0.070027472}
| 2k^2+5k+7=0 | | (5y-3)+72=180 | | 26y+16=28y | | 2/5x3/5 | | 2x+3x-6x= | | 4-x^2=6x | | 29=-25+6x | | 23-1/4w=-5 | | 2-6x=44 | | y-5+10=12 | | x+1.2y=6.4 | | 4(3p-4)=p+1 | | 1.5/(2-4i) | | x/3=-6/5 | | 385=40x+225 | | 0.041+x=0.125 | | X-10/9=7 | | u^2+11u-28= | | 16x3/4 | | t/3=-6/5 | | 32=5+9x | | 66+y=49 | | 9x-32=180 | | 4t^2-9t= | | -8+x/3=2 | | 6x^2+(2m+3x)+m=0 | | 5y=-2x+9 | | a-6=15+4a | | 4+-18=x | | 3z^2-1z+27z-9= | | -26=-2+8x | | 24/r=9/y |