If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4m(2m + 9(m * m) + -6) = 0 Multiply m * m 4m(2m + 9(m2) + -6) = 0 Reorder the terms: 4m(-6 + 2m + 9m2) = 0 (-6 * 4m + 2m * 4m + 9m2 * 4m) = 0 (-24m + 8m2 + 36m3) = 0 Solving -24m + 8m2 + 36m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m'. 4m(-6 + 2m + 9m2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(-6 + 2m + 9m2)' equal to zero and attempt to solve: Simplifying -6 + 2m + 9m2 = 0 Solving -6 + 2m + 9m2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. -0.6666666667 + 0.2222222222m + m2 = 0 Move the constant term to the right: Add '0.6666666667' to each side of the equation. -0.6666666667 + 0.2222222222m + 0.6666666667 + m2 = 0 + 0.6666666667 Reorder the terms: -0.6666666667 + 0.6666666667 + 0.2222222222m + m2 = 0 + 0.6666666667 Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000 0.0000000000 + 0.2222222222m + m2 = 0 + 0.6666666667 0.2222222222m + m2 = 0 + 0.6666666667 Combine like terms: 0 + 0.6666666667 = 0.6666666667 0.2222222222m + m2 = 0.6666666667 The m term is 0.2222222222m. Take half its coefficient (0.1111111111). Square it (0.01234567901) and add it to both sides. Add '0.01234567901' to each side of the equation. 0.2222222222m + 0.01234567901 + m2 = 0.6666666667 + 0.01234567901 Reorder the terms: 0.01234567901 + 0.2222222222m + m2 = 0.6666666667 + 0.01234567901 Combine like terms: 0.6666666667 + 0.01234567901 = 0.67901234571 0.01234567901 + 0.2222222222m + m2 = 0.67901234571 Factor a perfect square on the left side: (m + 0.1111111111)(m + 0.1111111111) = 0.67901234571 Calculate the square root of the right side: 0.824022054 Break this problem into two subproblems by setting (m + 0.1111111111) equal to 0.824022054 and -0.824022054.Subproblem 1
m + 0.1111111111 = 0.824022054 Simplifying m + 0.1111111111 = 0.824022054 Reorder the terms: 0.1111111111 + m = 0.824022054 Solving 0.1111111111 + m = 0.824022054 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.1111111111' to each side of the equation. 0.1111111111 + -0.1111111111 + m = 0.824022054 + -0.1111111111 Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000 0.0000000000 + m = 0.824022054 + -0.1111111111 m = 0.824022054 + -0.1111111111 Combine like terms: 0.824022054 + -0.1111111111 = 0.7129109429 m = 0.7129109429 Simplifying m = 0.7129109429Subproblem 2
m + 0.1111111111 = -0.824022054 Simplifying m + 0.1111111111 = -0.824022054 Reorder the terms: 0.1111111111 + m = -0.824022054 Solving 0.1111111111 + m = -0.824022054 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.1111111111' to each side of the equation. 0.1111111111 + -0.1111111111 + m = -0.824022054 + -0.1111111111 Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000 0.0000000000 + m = -0.824022054 + -0.1111111111 m = -0.824022054 + -0.1111111111 Combine like terms: -0.824022054 + -0.1111111111 = -0.9351331651 m = -0.9351331651 Simplifying m = -0.9351331651Solution
The solution to the problem is based on the solutions from the subproblems. m = {0.7129109429, -0.9351331651}Solution
m = {0, 0.7129109429, -0.9351331651}
| 3(2x-3)-14= | | 2k(k+5)=-35 | | -5(n+9)-n= | | 2(2x-4)=5x-7-3x | | r^2+15.7=2826 | | 6(t+7)+t= | | 1.5w+w+15+w=190 | | 2c+3d=e+5 | | 1.5w+w+w=190 | | 3c-4c+1= | | -2+9(-6x+5)= | | 1.5J+N+T=190 | | .3(53)(x)=202 | | 9+19m-6=8m+83-5m | | -3x^2+16x-7=0 | | x=3+-3y | | -2x-6y=-6 | | 14u=5u^2-3 | | 11-(-4)= | | -2x^2+12+16=0 | | 5k(3-4k)=0 | | -23+(-12)= | | 20x^2+49x+11=0 | | (3-x)-5= | | 2k(k+3)=-7 | | 4y+2y=30 | | 14x=-18 | | 7p+3q=3p-q+4 | | 7p^2=-17p-6 | | 6n-20=15+5n | | 4x-9=15+2x | | 8x-7x-6=6 |