If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3n(n + 4) = 0.5(6n + 4) Reorder the terms: 3n(4 + n) = 0.5(6n + 4) (4 * 3n + n * 3n) = 0.5(6n + 4) (12n + 3n2) = 0.5(6n + 4) Reorder the terms: 12n + 3n2 = 0.5(4 + 6n) 12n + 3n2 = (4 * 0.5 + 6n * 0.5) 12n + 3n2 = (2 + 3n) Solving 12n + 3n2 = 2 + 3n Solving for variable 'n'. Reorder the terms: -2 + 12n + -3n + 3n2 = 2 + 3n + -2 + -3n Combine like terms: 12n + -3n = 9n -2 + 9n + 3n2 = 2 + 3n + -2 + -3n Reorder the terms: -2 + 9n + 3n2 = 2 + -2 + 3n + -3n Combine like terms: 2 + -2 = 0 -2 + 9n + 3n2 = 0 + 3n + -3n -2 + 9n + 3n2 = 3n + -3n Combine like terms: 3n + -3n = 0 -2 + 9n + 3n2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -0.6666666667 + 3n + n2 = 0 Move the constant term to the right: Add '0.6666666667' to each side of the equation. -0.6666666667 + 3n + 0.6666666667 + n2 = 0 + 0.6666666667 Reorder the terms: -0.6666666667 + 0.6666666667 + 3n + n2 = 0 + 0.6666666667 Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000 0.0000000000 + 3n + n2 = 0 + 0.6666666667 3n + n2 = 0 + 0.6666666667 Combine like terms: 0 + 0.6666666667 = 0.6666666667 3n + n2 = 0.6666666667 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 = 0.6666666667 + 2.25 Reorder the terms: 2.25 + 3n + n2 = 0.6666666667 + 2.25 Combine like terms: 0.6666666667 + 2.25 = 2.9166666667 2.25 + 3n + n2 = 2.9166666667 Factor a perfect square on the left side: (n + 1.5)(n + 1.5) = 2.9166666667 Calculate the square root of the right side: 1.707825128 Break this problem into two subproblems by setting (n + 1.5) equal to 1.707825128 and -1.707825128.Subproblem 1
n + 1.5 = 1.707825128 Simplifying n + 1.5 = 1.707825128 Reorder the terms: 1.5 + n = 1.707825128 Solving 1.5 + n = 1.707825128 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 = 1.707825128 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + n = 1.707825128 + -1.5 n = 1.707825128 + -1.5 Combine like terms: 1.707825128 + -1.5 = 0.207825128 n = 0.207825128 Simplifying n = 0.207825128Subproblem 2
n + 1.5 = -1.707825128 Simplifying n + 1.5 = -1.707825128 Reorder the terms: 1.5 + n = -1.707825128 Solving 1.5 + n = -1.707825128 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 = -1.707825128 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + n = -1.707825128 + -1.5 n = -1.707825128 + -1.5 Combine like terms: -1.707825128 + -1.5 = -3.207825128 n = -3.207825128 Simplifying n = -3.207825128Solution
The solution to the problem is based on the solutions from the subproblems. n = {0.207825128, -3.207825128}
| 18=3y-6 | | 4(m^2+2)+3m^2+7m= | | 7(1-5x)=7+4x | | 6.7x=5.2x+12.7 | | -3+1.5v=1.5v-3 | | -4=2/3x(-6.6) | | w/3=-54 | | M(4+6n)=4p | | 7h+15=10h+3 | | -7(t+7)=7 | | 6x-4=3/2x-1 | | 0.3(2.1x-4)=1.32 | | 2x^3+x^2+2x+x=0 | | 9x-(8x+2)=3x-50 | | 22-6x=-8 | | 27=-u/8 | | 5y-2=14-y | | .50(12x+4)=-4x | | 9=v/5-15 | | 5-4p=6p-5 | | 47=5-6x | | 9y+4x=21 | | -8+n=1 | | 23y-13y=50 | | 16-5(3t-4)=9(-2t+11) | | 38+3y-14=11y-12-2y | | -8(1+a)+3=5a+34 | | 2x-5x+6.3=-14.4x | | y=5-6(-2) | | m^3n^8= | | (m^-4m^4/m^7m^-2)^3 | | 7=n-(-1) |