If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying n2 + 20n + -32 = 0 Reorder the terms: -32 + 20n + n2 = 0 Solving -32 + 20n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '32' to each side of the equation. -32 + 20n + 32 + n2 = 0 + 32 Reorder the terms: -32 + 32 + 20n + n2 = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 20n + n2 = 0 + 32 20n + n2 = 0 + 32 Combine like terms: 0 + 32 = 32 20n + n2 = 32 The n term is 20n. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20n + 100 + n2 = 32 + 100 Reorder the terms: 100 + 20n + n2 = 32 + 100 Combine like terms: 32 + 100 = 132 100 + 20n + n2 = 132 Factor a perfect square on the left side: (n + 10)(n + 10) = 132 Calculate the square root of the right side: 11.489125293 Break this problem into two subproblems by setting (n + 10) equal to 11.489125293 and -11.489125293.Subproblem 1
n + 10 = 11.489125293 Simplifying n + 10 = 11.489125293 Reorder the terms: 10 + n = 11.489125293 Solving 10 + n = 11.489125293 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + n = 11.489125293 + -10 Combine like terms: 10 + -10 = 0 0 + n = 11.489125293 + -10 n = 11.489125293 + -10 Combine like terms: 11.489125293 + -10 = 1.489125293 n = 1.489125293 Simplifying n = 1.489125293Subproblem 2
n + 10 = -11.489125293 Simplifying n + 10 = -11.489125293 Reorder the terms: 10 + n = -11.489125293 Solving 10 + n = -11.489125293 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + n = -11.489125293 + -10 Combine like terms: 10 + -10 = 0 0 + n = -11.489125293 + -10 n = -11.489125293 + -10 Combine like terms: -11.489125293 + -10 = -21.489125293 n = -21.489125293 Simplifying n = -21.489125293Solution
The solution to the problem is based on the solutions from the subproblems. n = {1.489125293, -21.489125293}
| x^2+49=29-x^2 | | -3x+10+5x+23=2 | | 3(2-4(x+1))=-x | | 25x+30y=1450 | | 42/3/22/9 | | 5=2.3x-4-1.6x | | 6+5(-7x+4)=6 | | 8x-4x=5(x-1)-2(7-2x) | | 3(n+1)=2 | | 3x+46=x+6 | | 7x-6=104-4x | | 8y-(2y-3)=3 | | -t^2-3t+54=0 | | -t-3t+54=0 | | 5(1+n)=-5 | | -7/4=-3/7w+1/2 | | 9x/10=x/8+31 | | 14+6x=-7+-1x | | -1/3x-3/4=-4/5 | | 2x+10=35 | | 360/m=360/(m+6)+2 | | -7/2-9/4=7/8 | | 6(-5-2x)=6 | | -5+(-10)-(-4)-13= | | 8+2m=-2m+16 | | 3+4(5-2)2-4= | | 3+4(5-2)-4= | | d+p=2.31 | | -1/2x+3/8=-7/4 | | 1/8-(-4/3) | | 2d+2p=4.62 | | -7/2=7/5v-7/3 |