If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 36m2 + -68m + -80 = 0 Reorder the terms: -80 + -68m + 36m2 = 0 Solving -80 + -68m + 36m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4'. 4(-20 + -17m + 9m2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-20 + -17m + 9m2)' equal to zero and attempt to solve: Simplifying -20 + -17m + 9m2 = 0 Solving -20 + -17m + 9m2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. -2.222222222 + -1.888888889m + m2 = 0 Move the constant term to the right: Add '2.222222222' to each side of the equation. -2.222222222 + -1.888888889m + 2.222222222 + m2 = 0 + 2.222222222 Reorder the terms: -2.222222222 + 2.222222222 + -1.888888889m + m2 = 0 + 2.222222222 Combine like terms: -2.222222222 + 2.222222222 = 0.000000000 0.000000000 + -1.888888889m + m2 = 0 + 2.222222222 -1.888888889m + m2 = 0 + 2.222222222 Combine like terms: 0 + 2.222222222 = 2.222222222 -1.888888889m + m2 = 2.222222222 The m term is -1.888888889m. Take half its coefficient (-0.9444444445). Square it (0.8919753087) and add it to both sides. Add '0.8919753087' to each side of the equation. -1.888888889m + 0.8919753087 + m2 = 2.222222222 + 0.8919753087 Reorder the terms: 0.8919753087 + -1.888888889m + m2 = 2.222222222 + 0.8919753087 Combine like terms: 2.222222222 + 0.8919753087 = 3.1141975307 0.8919753087 + -1.888888889m + m2 = 3.1141975307 Factor a perfect square on the left side: (m + -0.9444444445)(m + -0.9444444445) = 3.1141975307 Calculate the square root of the right side: 1.764708908 Break this problem into two subproblems by setting (m + -0.9444444445) equal to 1.764708908 and -1.764708908.Subproblem 1
m + -0.9444444445 = 1.764708908 Simplifying m + -0.9444444445 = 1.764708908 Reorder the terms: -0.9444444445 + m = 1.764708908 Solving -0.9444444445 + m = 1.764708908 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.9444444445' to each side of the equation. -0.9444444445 + 0.9444444445 + m = 1.764708908 + 0.9444444445 Combine like terms: -0.9444444445 + 0.9444444445 = 0.0000000000 0.0000000000 + m = 1.764708908 + 0.9444444445 m = 1.764708908 + 0.9444444445 Combine like terms: 1.764708908 + 0.9444444445 = 2.7091533525 m = 2.7091533525 Simplifying m = 2.7091533525Subproblem 2
m + -0.9444444445 = -1.764708908 Simplifying m + -0.9444444445 = -1.764708908 Reorder the terms: -0.9444444445 + m = -1.764708908 Solving -0.9444444445 + m = -1.764708908 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.9444444445' to each side of the equation. -0.9444444445 + 0.9444444445 + m = -1.764708908 + 0.9444444445 Combine like terms: -0.9444444445 + 0.9444444445 = 0.0000000000 0.0000000000 + m = -1.764708908 + 0.9444444445 m = -1.764708908 + 0.9444444445 Combine like terms: -1.764708908 + 0.9444444445 = -0.8202644635 m = -0.8202644635 Simplifying m = -0.8202644635Solution
The solution to the problem is based on the solutions from the subproblems. m = {2.7091533525, -0.8202644635}Solution
m = {2.7091533525, -0.8202644635}
| x-1488=0 | | 2x^2-10=7x | | x-1488=x+123 | | 0.05(7t-8)=0.35(t+4)-1.80 | | 3a+2a+2=24 | | 7x+4=16x-20 | | 23x+10=3(6x+2)+5x+4 | | 8x+4=4x+32 | | x=1.8y+32 | | (2+5x^2)X=4 | | 10x+15y=493.5 | | 5y+3=-27 | | 3(x+3)+42=6x-3(x-5) | | 9x-2-6x-6=7x-4x-11 | | b^2-15b-100=0 | | 1.5x-4.2=0.7x-1.96 | | 0.6x-0.5(40+x)=-0.35(40) | | 2x+1=(-8x+20)+1 | | 9x-6(x-1)=5(x+2) | | w^2-9w-22=0 | | abs(x-2)+abs(x+6)=10 | | 24=6(-1x-3) | | 2x+1=-8x+21 | | 3n=7(4n+9) | | (y-5)-(y+9)=7y | | by+y=b^2+3b+2 | | (7y)(y^2)=0 | | 2x+yi=8+6i | | 16x+3(1-2x)=4(x+3) | | x-120=3x-x^2 | | 3.3+7x=65.6 | | 4x-x*x=0 |