If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2m2 + -7m + -13 = 10 Reorder the terms: -13 + -7m + 2m2 = 10 Solving -13 + -7m + 2m2 = 10 Solving for variable 'm'. Reorder the terms: -13 + -10 + -7m + 2m2 = 10 + -10 Combine like terms: -13 + -10 = -23 -23 + -7m + 2m2 = 10 + -10 Combine like terms: 10 + -10 = 0 -23 + -7m + 2m2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -11.5 + -3.5m + m2 = 0 Move the constant term to the right: Add '11.5' to each side of the equation. -11.5 + -3.5m + 11.5 + m2 = 0 + 11.5 Reorder the terms: -11.5 + 11.5 + -3.5m + m2 = 0 + 11.5 Combine like terms: -11.5 + 11.5 = 0.0 0.0 + -3.5m + m2 = 0 + 11.5 -3.5m + m2 = 0 + 11.5 Combine like terms: 0 + 11.5 = 11.5 -3.5m + m2 = 11.5 The m term is -3.5m. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5m + 3.0625 + m2 = 11.5 + 3.0625 Reorder the terms: 3.0625 + -3.5m + m2 = 11.5 + 3.0625 Combine like terms: 11.5 + 3.0625 = 14.5625 3.0625 + -3.5m + m2 = 14.5625 Factor a perfect square on the left side: (m + -1.75)(m + -1.75) = 14.5625 Calculate the square root of the right side: 3.816084381 Break this problem into two subproblems by setting (m + -1.75) equal to 3.816084381 and -3.816084381.Subproblem 1
m + -1.75 = 3.816084381 Simplifying m + -1.75 = 3.816084381 Reorder the terms: -1.75 + m = 3.816084381 Solving -1.75 + m = 3.816084381 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + 1.75 + m = 3.816084381 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + m = 3.816084381 + 1.75 m = 3.816084381 + 1.75 Combine like terms: 3.816084381 + 1.75 = 5.566084381 m = 5.566084381 Simplifying m = 5.566084381Subproblem 2
m + -1.75 = -3.816084381 Simplifying m + -1.75 = -3.816084381 Reorder the terms: -1.75 + m = -3.816084381 Solving -1.75 + m = -3.816084381 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + 1.75 + m = -3.816084381 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + m = -3.816084381 + 1.75 m = -3.816084381 + 1.75 Combine like terms: -3.816084381 + 1.75 = -2.066084381 m = -2.066084381 Simplifying m = -2.066084381Solution
The solution to the problem is based on the solutions from the subproblems. m = {5.566084381, -2.066084381}
| 2x=2x-8 | | x+.20=672.00 | | -y^2-12y=0 | | h(x)+j(x)=8x+11x^2 | | 5=x+14 | | -b^2+15b=0 | | 19=21+a | | a^2+11a=0 | | 5a*4-3a*2= | | z+15=24 | | -b^2-5b=0 | | 36=x^2+5x | | q+5=25 | | 22+a=-14 | | -s^2+2s=0 | | -19+n=18 | | a-2/9=3/2 | | 6x=135 | | 4(X-5)=3(4-X)+7 | | 4(X-5)=(4-X)+7 | | 19c+31=26c-4 | | k^2-31-k=-6-3k-2k | | 10=7x | | y=vlt | | (4x+y)+(x+3y)=180 | | 2x+7=5-x-13 | | 13-10-y=18 | | 3(-4)+9(3)= | | x+1(2-4)= | | x(6x*7x)=98 | | 5(3)-8= | | X+2z-2=0 |