If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 24n2 + -40n + -54 = 0 Reorder the terms: -54 + -40n + 24n2 = 0 Solving -54 + -40n + 24n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2'. 2(-27 + -20n + 12n2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-27 + -20n + 12n2)' equal to zero and attempt to solve: Simplifying -27 + -20n + 12n2 = 0 Solving -27 + -20n + 12n2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. -2.25 + -1.666666667n + n2 = 0 Move the constant term to the right: Add '2.25' to each side of the equation. -2.25 + -1.666666667n + 2.25 + n2 = 0 + 2.25 Reorder the terms: -2.25 + 2.25 + -1.666666667n + n2 = 0 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + -1.666666667n + n2 = 0 + 2.25 -1.666666667n + n2 = 0 + 2.25 Combine like terms: 0 + 2.25 = 2.25 -1.666666667n + n2 = 2.25 The n term is -1.666666667n. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667n + 0.6944444447 + n2 = 2.25 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667n + n2 = 2.25 + 0.6944444447 Combine like terms: 2.25 + 0.6944444447 = 2.9444444447 0.6944444447 + -1.666666667n + n2 = 2.9444444447 Factor a perfect square on the left side: (n + -0.8333333335)(n + -0.8333333335) = 2.9444444447 Calculate the square root of the right side: 1.715938357 Break this problem into two subproblems by setting (n + -0.8333333335) equal to 1.715938357 and -1.715938357.Subproblem 1
n + -0.8333333335 = 1.715938357 Simplifying n + -0.8333333335 = 1.715938357 Reorder the terms: -0.8333333335 + n = 1.715938357 Solving -0.8333333335 + n = 1.715938357 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.8333333335' to each side of the equation. -0.8333333335 + 0.8333333335 + n = 1.715938357 + 0.8333333335 Combine like terms: -0.8333333335 + 0.8333333335 = 0.0000000000 0.0000000000 + n = 1.715938357 + 0.8333333335 n = 1.715938357 + 0.8333333335 Combine like terms: 1.715938357 + 0.8333333335 = 2.5492716905 n = 2.5492716905 Simplifying n = 2.5492716905Subproblem 2
n + -0.8333333335 = -1.715938357 Simplifying n + -0.8333333335 = -1.715938357 Reorder the terms: -0.8333333335 + n = -1.715938357 Solving -0.8333333335 + n = -1.715938357 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.8333333335' to each side of the equation. -0.8333333335 + 0.8333333335 + n = -1.715938357 + 0.8333333335 Combine like terms: -0.8333333335 + 0.8333333335 = 0.0000000000 0.0000000000 + n = -1.715938357 + 0.8333333335 n = -1.715938357 + 0.8333333335 Combine like terms: -1.715938357 + 0.8333333335 = -0.8826050235 n = -0.8826050235 Simplifying n = -0.8826050235Solution
The solution to the problem is based on the solutions from the subproblems. n = {2.5492716905, -0.8826050235}Solution
n = {2.5492716905, -0.8826050235}
| 2(-7x-6)=29(x-6)+7x | | 120=-6x-4(-4x-15) | | 6/7/3/35 | | 4x+7x-63=4x-56 | | (-19+7)+43=-19+(7+43) | | 46.8=2340/a | | 5.27-4.79x-1.6x=34.025 | | 2y-2+3y=11 | | 5(-2n+4)+2(n-3)= | | 12-18=12y-6y-3y | | 1/6(m-1)=2/3(m+3)-1/3m | | -671+0=-671 | | 19-3(2x+4y)= | | -5+12-x/2=10-15 | | 2(-3-6n)=-2n-6 | | 12a^2=6a+24 | | 5x-(3x+2x)= | | 0.25x(-3.60)= | | u=9(3.14)z | | 7x-14=3x-5x+13 | | -3(b-8)-5=9(b+2) | | 2(x-6)+4=4x-(2x+3)-5 | | 6/35/9/7 | | 12a^2-6a=24 | | 10x+20ab=30ab-50 | | (8x+2)-(2x-8)= | | -7=-7x-7(-3-23) | | -2.5+x=-16 | | -5x+10-2x=60 | | 12x^-2/2x^-4 | | 5j-3=12 | | 3(2k-9)-2(k+5)= |