If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6m2 + -20 = 9m Reorder the terms: -20 + 6m2 = 9m Solving -20 + 6m2 = 9m Solving for variable 'm'. Reorder the terms: -20 + -9m + 6m2 = 9m + -9m Combine like terms: 9m + -9m = 0 -20 + -9m + 6m2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -3.333333333 + -1.5m + m2 = 0 Move the constant term to the right: Add '3.333333333' to each side of the equation. -3.333333333 + -1.5m + 3.333333333 + m2 = 0 + 3.333333333 Reorder the terms: -3.333333333 + 3.333333333 + -1.5m + m2 = 0 + 3.333333333 Combine like terms: -3.333333333 + 3.333333333 = 0.000000000 0.000000000 + -1.5m + m2 = 0 + 3.333333333 -1.5m + m2 = 0 + 3.333333333 Combine like terms: 0 + 3.333333333 = 3.333333333 -1.5m + m2 = 3.333333333 The m term is -1.5m. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5m + 0.5625 + m2 = 3.333333333 + 0.5625 Reorder the terms: 0.5625 + -1.5m + m2 = 3.333333333 + 0.5625 Combine like terms: 3.333333333 + 0.5625 = 3.895833333 0.5625 + -1.5m + m2 = 3.895833333 Factor a perfect square on the left side: (m + -0.75)(m + -0.75) = 3.895833333 Calculate the square root of the right side: 1.973786547 Break this problem into two subproblems by setting (m + -0.75) equal to 1.973786547 and -1.973786547.Subproblem 1
m + -0.75 = 1.973786547 Simplifying m + -0.75 = 1.973786547 Reorder the terms: -0.75 + m = 1.973786547 Solving -0.75 + m = 1.973786547 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + m = 1.973786547 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + m = 1.973786547 + 0.75 m = 1.973786547 + 0.75 Combine like terms: 1.973786547 + 0.75 = 2.723786547 m = 2.723786547 Simplifying m = 2.723786547Subproblem 2
m + -0.75 = -1.973786547 Simplifying m + -0.75 = -1.973786547 Reorder the terms: -0.75 + m = -1.973786547 Solving -0.75 + m = -1.973786547 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + m = -1.973786547 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + m = -1.973786547 + 0.75 m = -1.973786547 + 0.75 Combine like terms: -1.973786547 + 0.75 = -1.223786547 m = -1.223786547 Simplifying m = -1.223786547Solution
The solution to the problem is based on the solutions from the subproblems. m = {2.723786547, -1.223786547}
| (9x-5)(2x+1)=0 | | (3x-2)(2x-1)=6x^2-2 | | -3(6-8x)=-90 | | 24(T+7)=6(4T+28) | | 2x+3x+10=1x+5+4x+5 | | 2x+3x+10=1x+5+45 | | 17x-3=12x-7 | | p(1+rt)=A | | (2x-y)(x+5y)= | | -6a-3=9 | | .029x+.3=.05x+.05 | | -2a^2(9-a-4a^2)+4a^2(a^2-2a+3)= | | xm^2+m+1=m^2+5x | | 6(X-6)=5(X+5) | | (x-3)(3x-5)= | | 10x^2=400x | | 18-r=16 | | a-x=a+sq | | 4b+13=9 | | 17d+(-7d)+(-4d)-(-3)=-9 | | -4x+5(x+2)=-6 | | .35x+x=1.62 | | 18y-13y=20 | | -16=-6+2r | | 35x+x=1.62 | | 13x^2+3=0 | | -556=20-(-j) | | 4(N+6)=3 | | 14v-9v-1=19 | | -2=2(z-5)-6 | | (-47)-(70)= | | -9x+5=-11x+6 |