If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -2y2 + -2y = -3 Reorder the terms: -2y + -2y2 = -3 Solving -2y + -2y2 = -3 Solving for variable 'y'. Reorder the terms: 3 + -2y + -2y2 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + -2y + -2y2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -1.5 + y + y2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + y + 1.5 + y2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + y + y2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + y + y2 = 0 + 1.5 y + y2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 y + y2 = 1.5 The y term is y. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + y2 = 1.5 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + y2 = 1.5 + 0.25 Combine like terms: 1.5 + 0.25 = 1.75 1.25 + y2 = 1.75 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = 1.75 Calculate the square root of the right side: 1.322875656 Break this problem into two subproblems by setting (y + 0.5) equal to 1.322875656 and -1.322875656.Subproblem 1
y + 0.5 = 1.322875656 Simplifying y + 0.5 = 1.322875656 Reorder the terms: 0.5 + y = 1.322875656 Solving 0.5 + y = 1.322875656 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + y = 1.322875656 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + y = 1.322875656 + -0.5 y = 1.322875656 + -0.5 Combine like terms: 1.322875656 + -0.5 = 0.822875656 y = 0.822875656 Simplifying y = 0.822875656Subproblem 2
y + 0.5 = -1.322875656 Simplifying y + 0.5 = -1.322875656 Reorder the terms: 0.5 + y = -1.322875656 Solving 0.5 + y = -1.322875656 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + y = -1.322875656 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + y = -1.322875656 + -0.5 y = -1.322875656 + -0.5 Combine like terms: -1.322875656 + -0.5 = -1.822875656 y = -1.822875656 Simplifying y = -1.822875656Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.822875656, -1.822875656}
| p=50(120)-500 | | 4b+3=139 | | 5(x-14)+20x=-4 | | 10x^2-50x-25=0 | | 0.5(7x+4)=7-1.5x | | p=50(80)-350 | | 4x-8y+ax-2ay=0 | | 0=-16t+159t+60 | | 0.75(8+x)=2-1.25x | | 3x-2/5=2 | | 1/2x-3=3(4-3/2x) | | 20=3(b+3)+2 | | X+19y=y | | 4x-3=32-x | | 6x=4248 | | -65=2(-3-7y)-5(1+8p) | | (1/3b)^3 | | 4x+2y=132 | | 86400=(60x)*(x-7) | | 1.5(2-4x)=6x | | 86400=(30*x*x)*(x-7) | | 3m= -1 | | h(t)=-16t+20t+2 | | 17g+-20g=6 | | v=14*1.5*7 | | h(t)=-16t | | -2(w+18)=-6 | | 4(x+2)-1x=29 | | 8x+6y=800 | | 30x-7=86400*2*x | | (k-3)x+(2k+1)y=14 | | 3(x-6)+2x=2x+21 |