If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -2n2 + 30n + 42 = 0 Reorder the terms: 42 + 30n + -2n2 = 0 Solving 42 + 30n + -2n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2'. 2(21 + 15n + -1n2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(21 + 15n + -1n2)' equal to zero and attempt to solve: Simplifying 21 + 15n + -1n2 = 0 Solving 21 + 15n + -1n2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -21 + -15n + n2 = 0 Move the constant term to the right: Add '21' to each side of the equation. -21 + -15n + 21 + n2 = 0 + 21 Reorder the terms: -21 + 21 + -15n + n2 = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -15n + n2 = 0 + 21 -15n + n2 = 0 + 21 Combine like terms: 0 + 21 = 21 -15n + n2 = 21 The n term is -15n. Take half its coefficient (-7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. -15n + 56.25 + n2 = 21 + 56.25 Reorder the terms: 56.25 + -15n + n2 = 21 + 56.25 Combine like terms: 21 + 56.25 = 77.25 56.25 + -15n + n2 = 77.25 Factor a perfect square on the left side: (n + -7.5)(n + -7.5) = 77.25 Calculate the square root of the right side: 8.789197916 Break this problem into two subproblems by setting (n + -7.5) equal to 8.789197916 and -8.789197916.Subproblem 1
n + -7.5 = 8.789197916 Simplifying n + -7.5 = 8.789197916 Reorder the terms: -7.5 + n = 8.789197916 Solving -7.5 + n = 8.789197916 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7.5' to each side of the equation. -7.5 + 7.5 + n = 8.789197916 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + n = 8.789197916 + 7.5 n = 8.789197916 + 7.5 Combine like terms: 8.789197916 + 7.5 = 16.289197916 n = 16.289197916 Simplifying n = 16.289197916Subproblem 2
n + -7.5 = -8.789197916 Simplifying n + -7.5 = -8.789197916 Reorder the terms: -7.5 + n = -8.789197916 Solving -7.5 + n = -8.789197916 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7.5' to each side of the equation. -7.5 + 7.5 + n = -8.789197916 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + n = -8.789197916 + 7.5 n = -8.789197916 + 7.5 Combine like terms: -8.789197916 + 7.5 = -1.289197916 n = -1.289197916 Simplifying n = -1.289197916Solution
The solution to the problem is based on the solutions from the subproblems. n = {16.289197916, -1.289197916}Solution
n = {16.289197916, -1.289197916}
| x+4x-2=8 | | -3(x+1)(x+2)=0 | | 212=x+8 | | 2(5a+7)=-a | | 4x+5(x+3)=87 | | 2n+1-6=5 | | -10m+15= | | 5(4c-2)=2(2c+19) | | 4(3q-2)=28 | | 1-3/4(v+2)=-5 | | 16+=4 | | 2.5x+15+.5(x-4)=1.2x+2(.9x-6) | | 2x+16=8x+5 | | 2.5x+15+.5(x-4)=1.2x | | 28=4(2x+1)+4 | | 8x^3-12x^2+16x= | | 18+2d+d+3d= | | x+4x-9=16 | | -3x+5-x=7-2x | | r-1+5r=5 | | 0.25(3x+2)=7 | | -3+5-x=7-2x | | 15y^4-9y^3= | | 4*-5+y=20 | | 15x-13x=-84 | | 11x-6x-10=20 | | 22=9t+12m-5t-5m-8 | | 1.9q-2.6-2.2q=1.3q-4.9 | | 5(x-40)=2(x-90)+21 | | 0=8t^2+8t+450 | | 9y-11=72 | | 20+4x=30+3.5x |