If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4n2 + -16n + -42 = 0 Reorder the terms: -42 + -16n + 4n2 = 0 Solving -42 + -16n + 4n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2'. 2(-21 + -8n + 2n2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-21 + -8n + 2n2)' equal to zero and attempt to solve: Simplifying -21 + -8n + 2n2 = 0 Solving -21 + -8n + 2n2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -10.5 + -4n + n2 = 0 Move the constant term to the right: Add '10.5' to each side of the equation. -10.5 + -4n + 10.5 + n2 = 0 + 10.5 Reorder the terms: -10.5 + 10.5 + -4n + n2 = 0 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + -4n + n2 = 0 + 10.5 -4n + n2 = 0 + 10.5 Combine like terms: 0 + 10.5 = 10.5 -4n + n2 = 10.5 The n term is -4n. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4n + 4 + n2 = 10.5 + 4 Reorder the terms: 4 + -4n + n2 = 10.5 + 4 Combine like terms: 10.5 + 4 = 14.5 4 + -4n + n2 = 14.5 Factor a perfect square on the left side: (n + -2)(n + -2) = 14.5 Calculate the square root of the right side: 3.807886553 Break this problem into two subproblems by setting (n + -2) equal to 3.807886553 and -3.807886553.Subproblem 1
n + -2 = 3.807886553 Simplifying n + -2 = 3.807886553 Reorder the terms: -2 + n = 3.807886553 Solving -2 + n = 3.807886553 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + n = 3.807886553 + 2 Combine like terms: -2 + 2 = 0 0 + n = 3.807886553 + 2 n = 3.807886553 + 2 Combine like terms: 3.807886553 + 2 = 5.807886553 n = 5.807886553 Simplifying n = 5.807886553Subproblem 2
n + -2 = -3.807886553 Simplifying n + -2 = -3.807886553 Reorder the terms: -2 + n = -3.807886553 Solving -2 + n = -3.807886553 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + n = -3.807886553 + 2 Combine like terms: -2 + 2 = 0 0 + n = -3.807886553 + 2 n = -3.807886553 + 2 Combine like terms: -3.807886553 + 2 = -1.807886553 n = -1.807886553 Simplifying n = -1.807886553Solution
The solution to the problem is based on the solutions from the subproblems. n = {5.807886553, -1.807886553}Solution
n = {5.807886553, -1.807886553}
| 3x-4b+3c=x+2b-9c | | 1n-2=4-2n | | (a^2-9)x^2-2ax+1=0 | | -7x+8=29 | | 0.2x-0.3(3)=0.7 | | 10x^5=10x^4+60x^3 | | 10-2x=25+3x | | 9t-15t=-15 | | 8(m-6)=-36+6m | | -34+8n=3+(1+6n) | | 2x+7y=6x+5 | | 3(m-3)=m+5 | | 12x(x-3)=-27 | | X^2+6x+63=0 | | 21-6r=-6(r-3) | | -x+8-6x=85 | | (12x+3)=90 | | (12x+y)=90 | | 339=x+(.03*x) | | (12x-3)+y=180 | | 729=3y | | 12a+10+3a=11 | | x+2=4x+8 | | -3-5x=3x-(7+8x) | | -6a+20=-3(-8+2a) | | 20x-9-3x=8x+6 | | 25=2(y+7) | | 5(3n-3)=33+3n | | 2*Cos(7x)-1=0 | | 1-4b=-3(b-1) | | 16x-4x+6=54 | | 0.075(x+1000)=0.08x+.06(1000) |