If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 169 = 5y(5y + 9) Reorder the terms: 169 = 5y(9 + 5y) 169 = (9 * 5y + 5y * 5y) 169 = (45y + 25y2) Solving 169 = 45y + 25y2 Solving for variable 'y'. Reorder the terms: 169 + -45y + -25y2 = 45y + -45y + 25y2 + -25y2 Combine like terms: 45y + -45y = 0 169 + -45y + -25y2 = 0 + 25y2 + -25y2 169 + -45y + -25y2 = 25y2 + -25y2 Combine like terms: 25y2 + -25y2 = 0 169 + -45y + -25y2 = 0 Begin completing the square. Divide all terms by -25 the coefficient of the squared term: Divide each side by '-25'. -6.76 + 1.8y + y2 = 0 Move the constant term to the right: Add '6.76' to each side of the equation. -6.76 + 1.8y + 6.76 + y2 = 0 + 6.76 Reorder the terms: -6.76 + 6.76 + 1.8y + y2 = 0 + 6.76 Combine like terms: -6.76 + 6.76 = 0.00 0.00 + 1.8y + y2 = 0 + 6.76 1.8y + y2 = 0 + 6.76 Combine like terms: 0 + 6.76 = 6.76 1.8y + y2 = 6.76 The y term is 1.8y. Take half its coefficient (0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. 1.8y + 0.81 + y2 = 6.76 + 0.81 Reorder the terms: 0.81 + 1.8y + y2 = 6.76 + 0.81 Combine like terms: 6.76 + 0.81 = 7.57 0.81 + 1.8y + y2 = 7.57 Factor a perfect square on the left side: (y + 0.9)(y + 0.9) = 7.57 Calculate the square root of the right side: 2.751363298 Break this problem into two subproblems by setting (y + 0.9) equal to 2.751363298 and -2.751363298.Subproblem 1
y + 0.9 = 2.751363298 Simplifying y + 0.9 = 2.751363298 Reorder the terms: 0.9 + y = 2.751363298 Solving 0.9 + y = 2.751363298 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + y = 2.751363298 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + y = 2.751363298 + -0.9 y = 2.751363298 + -0.9 Combine like terms: 2.751363298 + -0.9 = 1.851363298 y = 1.851363298 Simplifying y = 1.851363298Subproblem 2
y + 0.9 = -2.751363298 Simplifying y + 0.9 = -2.751363298 Reorder the terms: 0.9 + y = -2.751363298 Solving 0.9 + y = -2.751363298 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + y = -2.751363298 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + y = -2.751363298 + -0.9 y = -2.751363298 + -0.9 Combine like terms: -2.751363298 + -0.9 = -3.651363298 y = -3.651363298 Simplifying y = -3.651363298Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.851363298, -3.651363298}
| 10m*5m=h | | 3m-7=50 | | -2x^2+267x-682=0 | | t^2+12t+15=-5 | | 9x^2+34-8=0 | | 6x-8-2x=8x-7 | | h=10m+5m | | 6(3x-8)=b-18x | | 4(2x+3)=9(3-5) | | 4(3x-2)-2x=3x+27 | | 13=5+2v | | 4y+6=20 | | 3-1/2x=3/4 | | 2x-8y=-16;y=1/4x-2 | | 4y+6=21 | | 3n+-2=-5 | | 6-7x=12x+5 | | 3w+12=2w+26 | | -15x^2+6x+9=0 | | 3e^4x+5=12 | | 64=-8v | | 3x/4-17=-8 | | 4x=3(x+6)-2 | | 6m-8=2+19m-1 | | (15w^-2x^4/10x^4y^-6)^-5 | | 2/3x-5= | | (-3x^2y)3/9x^2y^2 | | -16=11+3a | | 3w^2-4=0 | | 5(2a-1)=8a+7 | | 468/18 | | -12m=-84 |