If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4n2 = -12n + -2 Reorder the terms: 4n2 = -2 + -12n Solving 4n2 = -2 + -12n Solving for variable 'n'. Reorder the terms: 2 + 12n + 4n2 = -2 + -12n + 2 + 12n Reorder the terms: 2 + 12n + 4n2 = -2 + 2 + -12n + 12n Combine like terms: -2 + 2 = 0 2 + 12n + 4n2 = 0 + -12n + 12n 2 + 12n + 4n2 = -12n + 12n Combine like terms: -12n + 12n = 0 2 + 12n + 4n2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + 6n + 2n2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + 6n + 2n2)' equal to zero and attempt to solve: Simplifying 1 + 6n + 2n2 = 0 Solving 1 + 6n + 2n2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 0.5 + 3n + n2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 3n + -0.5 + n2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 3n + n2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 3n + n2 = 0 + -0.5 3n + n2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 3n + n2 = -0.5 The n term is 3n. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3n + 2.25 + n2 = -0.5 + 2.25 Reorder the terms: 2.25 + 3n + n2 = -0.5 + 2.25 Combine like terms: -0.5 + 2.25 = 1.75 2.25 + 3n + n2 = 1.75 Factor a perfect square on the left side: (n + 1.5)(n + 1.5) = 1.75 Calculate the square root of the right side: 1.322875656 Break this problem into two subproblems by setting (n + 1.5) equal to 1.322875656 and -1.322875656.Subproblem 1
n + 1.5 = 1.322875656 Simplifying n + 1.5 = 1.322875656 Reorder the terms: 1.5 + n = 1.322875656 Solving 1.5 + n = 1.322875656 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + n = 1.322875656 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + n = 1.322875656 + -1.5 n = 1.322875656 + -1.5 Combine like terms: 1.322875656 + -1.5 = -0.177124344 n = -0.177124344 Simplifying n = -0.177124344Subproblem 2
n + 1.5 = -1.322875656 Simplifying n + 1.5 = -1.322875656 Reorder the terms: 1.5 + n = -1.322875656 Solving 1.5 + n = -1.322875656 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + n = -1.322875656 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + n = -1.322875656 + -1.5 n = -1.322875656 + -1.5 Combine like terms: -1.322875656 + -1.5 = -2.822875656 n = -2.822875656 Simplifying n = -2.822875656Solution
The solution to the problem is based on the solutions from the subproblems. n = {-0.177124344, -2.822875656}Solution
n = {-0.177124344, -2.822875656}
| x^5-x=0 | | 6y=5(y+12) | | x+12=45-x | | X^2+y^2+6y-27=0 | | -3d+5+d=3-2d+5 | | 5x-3.2=6.3 | | X^2+4y^2+8x-48=0 | | 4b^2+28b+49=0 | | 3x-5+x=6+4x-2 | | 16+2x=10+8x | | 27a^3+18a^2=-3a | | 151-4x=32x+15 | | 7n+5=19 | | 36x+6=10 | | 18a=15a+27 | | 5x+6=-18+-7x | | 7r^2-4r=3r^2-1 | | 3(4h-2)-4h=11(3-4h)+39h | | a^2b-16b=0 | | 2x=148 | | A+4(2a+1)=3(3a-2)+10a | | 8m-7=2m-17 | | -4-8x=8x+24 | | 9x^2-7xy+3y^2+2x-3y+1=0 | | 5k+13=-10 | | 6ln(x+4)-7lnx=y | | 2a=-6 | | 100-2x=4x+22 | | 2a=-9+3 | | 5-5=1346-1346 | | 1/2=12-9 | | Ln(X)+ln(X-1)=1 |