If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 180 = m + 2m(m + 10) Reorder the terms: 180 = m + 2m(10 + m) 180 = m + (10 * 2m + m * 2m) 180 = m + (20m + 2m2) Combine like terms: m + 20m = 21m 180 = 21m + 2m2 Solving 180 = 21m + 2m2 Solving for variable 'm'. Reorder the terms: 180 + -21m + -2m2 = 21m + -21m + 2m2 + -2m2 Combine like terms: 21m + -21m = 0 180 + -21m + -2m2 = 0 + 2m2 + -2m2 180 + -21m + -2m2 = 2m2 + -2m2 Combine like terms: 2m2 + -2m2 = 0 180 + -21m + -2m2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -90 + 10.5m + m2 = 0 Move the constant term to the right: Add '90' to each side of the equation. -90 + 10.5m + 90 + m2 = 0 + 90 Reorder the terms: -90 + 90 + 10.5m + m2 = 0 + 90 Combine like terms: -90 + 90 = 0 0 + 10.5m + m2 = 0 + 90 10.5m + m2 = 0 + 90 Combine like terms: 0 + 90 = 90 10.5m + m2 = 90 The m term is 10.5m. Take half its coefficient (5.25). Square it (27.5625) and add it to both sides. Add '27.5625' to each side of the equation. 10.5m + 27.5625 + m2 = 90 + 27.5625 Reorder the terms: 27.5625 + 10.5m + m2 = 90 + 27.5625 Combine like terms: 90 + 27.5625 = 117.5625 27.5625 + 10.5m + m2 = 117.5625 Factor a perfect square on the left side: (m + 5.25)(m + 5.25) = 117.5625 Calculate the square root of the right side: 10.842624221 Break this problem into two subproblems by setting (m + 5.25) equal to 10.842624221 and -10.842624221.Subproblem 1
m + 5.25 = 10.842624221 Simplifying m + 5.25 = 10.842624221 Reorder the terms: 5.25 + m = 10.842624221 Solving 5.25 + m = 10.842624221 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5.25' to each side of the equation. 5.25 + -5.25 + m = 10.842624221 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + m = 10.842624221 + -5.25 m = 10.842624221 + -5.25 Combine like terms: 10.842624221 + -5.25 = 5.592624221 m = 5.592624221 Simplifying m = 5.592624221Subproblem 2
m + 5.25 = -10.842624221 Simplifying m + 5.25 = -10.842624221 Reorder the terms: 5.25 + m = -10.842624221 Solving 5.25 + m = -10.842624221 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5.25' to each side of the equation. 5.25 + -5.25 + m = -10.842624221 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + m = -10.842624221 + -5.25 m = -10.842624221 + -5.25 Combine like terms: -10.842624221 + -5.25 = -16.092624221 m = -16.092624221 Simplifying m = -16.092624221Solution
The solution to the problem is based on the solutions from the subproblems. m = {5.592624221, -16.092624221}
| 5+4(1)(1-y)-1=0 | | 2xy=-7 | | 0.3x+1.8=0.4+1.8 | | 2-1x=-x-8 | | 12y-6= | | 6x-3-5x=3 | | -ax+3bx=-10 | | 3+3x=-2x+43 | | 20m=60 | | y^2=36+x^2 | | 18p=-306 | | 3y-y^2=3 | | 49x+14x+1=0 | | 8+5x-4x=13 | | 2b-90=90 | | xy-6x+2y=12 | | cos^2x+2cosx-1=0 | | -2(7x-9)=-14x+18 | | 8x-4x+132=8x+48 | | -3(2t-5)=3 | | 1.5+x=7.5 | | 3(x-4)=63 | | sqrt(n)*(4+6n)= | | -55=3x+6x+8 | | 6.7x-3.8=16.3 | | 5(3z-1)-3(z+7)=7(z+1) | | 20s=-140 | | 17-13d=-11d-19 | | 6b-(2b+8)=-16 | | 6x-11=2(5x-30)+9 | | 3+4(x-8)=9-8(8-5) | | 21+28m=28+21m |