If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 12n2 + -6n + -21 = 0 Reorder the terms: -21 + -6n + 12n2 = 0 Solving -21 + -6n + 12n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3'. 3(-7 + -2n + 4n2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -2n + 4n2)' equal to zero and attempt to solve: Simplifying -7 + -2n + 4n2 = 0 Solving -7 + -2n + 4n2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -1.75 + -0.5n + n2 = 0 Move the constant term to the right: Add '1.75' to each side of the equation. -1.75 + -0.5n + 1.75 + n2 = 0 + 1.75 Reorder the terms: -1.75 + 1.75 + -0.5n + n2 = 0 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + -0.5n + n2 = 0 + 1.75 -0.5n + n2 = 0 + 1.75 Combine like terms: 0 + 1.75 = 1.75 -0.5n + n2 = 1.75 The n term is -0.5n. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5n + 0.0625 + n2 = 1.75 + 0.0625 Reorder the terms: 0.0625 + -0.5n + n2 = 1.75 + 0.0625 Combine like terms: 1.75 + 0.0625 = 1.8125 0.0625 + -0.5n + n2 = 1.8125 Factor a perfect square on the left side: (n + -0.25)(n + -0.25) = 1.8125 Calculate the square root of the right side: 1.346291202 Break this problem into two subproblems by setting (n + -0.25) equal to 1.346291202 and -1.346291202.Subproblem 1
n + -0.25 = 1.346291202 Simplifying n + -0.25 = 1.346291202 Reorder the terms: -0.25 + n = 1.346291202 Solving -0.25 + n = 1.346291202 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + n = 1.346291202 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + n = 1.346291202 + 0.25 n = 1.346291202 + 0.25 Combine like terms: 1.346291202 + 0.25 = 1.596291202 n = 1.596291202 Simplifying n = 1.596291202Subproblem 2
n + -0.25 = -1.346291202 Simplifying n + -0.25 = -1.346291202 Reorder the terms: -0.25 + n = -1.346291202 Solving -0.25 + n = -1.346291202 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + n = -1.346291202 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + n = -1.346291202 + 0.25 n = -1.346291202 + 0.25 Combine like terms: -1.346291202 + 0.25 = -1.096291202 n = -1.096291202 Simplifying n = -1.096291202Solution
The solution to the problem is based on the solutions from the subproblems. n = {1.596291202, -1.096291202}Solution
n = {1.596291202, -1.096291202}
| 2x+12=27 | | =x^2-7x+12 | | 6.1y+1.07=9 | | .10(37.5+-2.5y)=3.75 | | 4x^2+2x-6x=0 | | y=x+12 | | k^2-2k-48=0 | | 4(3r-9)=12 | | 2x+63= | | 5(23x+12)=3 | | -4x+18=26 | | y+8=4x | | .10x+.25y=3.75 | | 2y-4+3y=16 | | 3y+63= | | 110-96= | | 5x^2-24=10x | | 7+y=18 | | 28=144-3x | | k-32-(-16)=-9 | | x+8=-9(x+8) | | 220-4x=260 | | v^2+2v-80=0 | | =x^2+31x+53 | | 2x-4y=5 | | 4(3d-2)=8d | | 4(3x+7)=2(5x+25) | | 16n^2-1=0 | | -y^2-3y+28=0 | | P=b+2s | | 9+11a=5a+21 | | x^2+6x+73=0 |