If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5m2 + 10m + -80 = 75 Reorder the terms: -80 + 10m + 5m2 = 75 Solving -80 + 10m + 5m2 = 75 Solving for variable 'm'. Reorder the terms: -80 + -75 + 10m + 5m2 = 75 + -75 Combine like terms: -80 + -75 = -155 -155 + 10m + 5m2 = 75 + -75 Combine like terms: 75 + -75 = 0 -155 + 10m + 5m2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-31 + 2m + m2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-31 + 2m + m2)' equal to zero and attempt to solve: Simplifying -31 + 2m + m2 = 0 Solving -31 + 2m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '31' to each side of the equation. -31 + 2m + 31 + m2 = 0 + 31 Reorder the terms: -31 + 31 + 2m + m2 = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 2m + m2 = 0 + 31 2m + m2 = 0 + 31 Combine like terms: 0 + 31 = 31 2m + m2 = 31 The m term is 2m. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2m + 1 + m2 = 31 + 1 Reorder the terms: 1 + 2m + m2 = 31 + 1 Combine like terms: 31 + 1 = 32 1 + 2m + m2 = 32 Factor a perfect square on the left side: (m + 1)(m + 1) = 32 Calculate the square root of the right side: 5.656854249 Break this problem into two subproblems by setting (m + 1) equal to 5.656854249 and -5.656854249.Subproblem 1
m + 1 = 5.656854249 Simplifying m + 1 = 5.656854249 Reorder the terms: 1 + m = 5.656854249 Solving 1 + m = 5.656854249 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + m = 5.656854249 + -1 Combine like terms: 1 + -1 = 0 0 + m = 5.656854249 + -1 m = 5.656854249 + -1 Combine like terms: 5.656854249 + -1 = 4.656854249 m = 4.656854249 Simplifying m = 4.656854249Subproblem 2
m + 1 = -5.656854249 Simplifying m + 1 = -5.656854249 Reorder the terms: 1 + m = -5.656854249 Solving 1 + m = -5.656854249 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + m = -5.656854249 + -1 Combine like terms: 1 + -1 = 0 0 + m = -5.656854249 + -1 m = -5.656854249 + -1 Combine like terms: -5.656854249 + -1 = -6.656854249 m = -6.656854249 Simplifying m = -6.656854249Solution
The solution to the problem is based on the solutions from the subproblems. m = {4.656854249, -6.656854249}Solution
m = {4.656854249, -6.656854249}
| 15x-7y=66 | | 2b^2+10b+15=3 | | 6x^2-3x+1=0 | | 3x+7y=38 | | 2a+3-6a=-21 | | k^2-24k+4=-2 | | 3x-8+x+1-4x+5x= | | -2x-y=-2 | | 1/4+6=-2 | | 7b-3+5-1b= | | 5/4x+2/9=-5/4 | | 4(1)-2y=10 | | X^2+10x+21/x+3 | | -w/4(w+3)=-12 | | 25+6=-2 | | 2(s+7)+3s=3(2s+12) | | 156x/60=-120 | | 6x/8=72 | | 3(t-12)=17 | | -6=k-6-2k | | -2=16m-9 | | -x-4=-11 | | 3y^3+15y^2+2y+10= | | 6a*2+7a-1b+14-5a+3a*2-25b+16b*2= | | 12+4x=9x+6 | | -34=-2(x-3) | | 9/3x=2/8 | | x^2-8x-28y-124=0 | | 3y^2+15y^2+2y+10= | | X^3-18x+32=0 | | 7x=-2/5 | | 0=5X^2+7X+2 |