If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + -3x + -162 = 180 Reorder the terms: -162 + -3x + x2 = 180 Solving -162 + -3x + x2 = 180 Solving for variable 'x'. Reorder the terms: -162 + -180 + -3x + x2 = 180 + -180 Combine like terms: -162 + -180 = -342 -342 + -3x + x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -342 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '342' to each side of the equation. -342 + -3x + 342 + x2 = 0 + 342 Reorder the terms: -342 + 342 + -3x + x2 = 0 + 342 Combine like terms: -342 + 342 = 0 0 + -3x + x2 = 0 + 342 -3x + x2 = 0 + 342 Combine like terms: 0 + 342 = 342 -3x + x2 = 342 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = 342 + 2.25 Reorder the terms: 2.25 + -3x + x2 = 342 + 2.25 Combine like terms: 342 + 2.25 = 344.25 2.25 + -3x + x2 = 344.25 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = 344.25 Calculate the square root of the right side: 18.553975315 Break this problem into two subproblems by setting (x + -1.5) equal to 18.553975315 and -18.553975315.Subproblem 1
x + -1.5 = 18.553975315 Simplifying x + -1.5 = 18.553975315 Reorder the terms: -1.5 + x = 18.553975315 Solving -1.5 + x = 18.553975315 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = 18.553975315 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = 18.553975315 + 1.5 x = 18.553975315 + 1.5 Combine like terms: 18.553975315 + 1.5 = 20.053975315 x = 20.053975315 Simplifying x = 20.053975315Subproblem 2
x + -1.5 = -18.553975315 Simplifying x + -1.5 = -18.553975315 Reorder the terms: -1.5 + x = -18.553975315 Solving -1.5 + x = -18.553975315 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = -18.553975315 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = -18.553975315 + 1.5 x = -18.553975315 + 1.5 Combine like terms: -18.553975315 + 1.5 = -17.053975315 x = -17.053975315 Simplifying x = -17.053975315Solution
The solution to the problem is based on the solutions from the subproblems. x = {20.053975315, -17.053975315}
| -n-2/7=7 | | 5(z-6)-2=9z | | 8(p-1)=4(p+3) | | 2y+a-7y=-6y+2a | | 6x+3x-12=8x-3 | | 1h+20=35-4h | | 3y-a=-3y+a | | 90=-6t | | 12/x=3x | | -3(-2x-5)-7=-10 | | 2(7x+1)=4x-3 | | 12x-18=9x-5 | | 5d+15=15 | | 3p(2p-6)= | | 8(2w+-6)+4(-1+-5w)= | | p=2*7+2*14 | | -w^3+3w-2=0 | | 8(2w+-6)+4(-1+5w)=0 | | 2d-(d-5)=0 | | M=31h | | 15x+3+16x-3=180 | | 4[6x-4]-3=101 | | 8(2w+-6)+4(-1+15w)=0 | | 10000=45647 | | 9-5x+3=9-5x | | W^3+3w-2=0 | | 3x+15+10x-30=180 | | 2y=-42 | | 8+3xy=2squared+squared | | 6(x-9)+20=2 | | x/4-z=rw | | -2(-7k+4)+9=-10 |