If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying n2 + 7n + 14 = 5 Reorder the terms: 14 + 7n + n2 = 5 Solving 14 + 7n + n2 = 5 Solving for variable 'n'. Reorder the terms: 14 + -5 + 7n + n2 = 5 + -5 Combine like terms: 14 + -5 = 9 9 + 7n + n2 = 5 + -5 Combine like terms: 5 + -5 = 0 9 + 7n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + 7n + -9 + n2 = 0 + -9 Reorder the terms: 9 + -9 + 7n + n2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7n + n2 = 0 + -9 7n + n2 = 0 + -9 Combine like terms: 0 + -9 = -9 7n + n2 = -9 The n term is 7n. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7n + 12.25 + n2 = -9 + 12.25 Reorder the terms: 12.25 + 7n + n2 = -9 + 12.25 Combine like terms: -9 + 12.25 = 3.25 12.25 + 7n + n2 = 3.25 Factor a perfect square on the left side: (n + 3.5)(n + 3.5) = 3.25 Calculate the square root of the right side: 1.802775638 Break this problem into two subproblems by setting (n + 3.5) equal to 1.802775638 and -1.802775638.Subproblem 1
n + 3.5 = 1.802775638 Simplifying n + 3.5 = 1.802775638 Reorder the terms: 3.5 + n = 1.802775638 Solving 3.5 + n = 1.802775638 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + n = 1.802775638 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + n = 1.802775638 + -3.5 n = 1.802775638 + -3.5 Combine like terms: 1.802775638 + -3.5 = -1.697224362 n = -1.697224362 Simplifying n = -1.697224362Subproblem 2
n + 3.5 = -1.802775638 Simplifying n + 3.5 = -1.802775638 Reorder the terms: 3.5 + n = -1.802775638 Solving 3.5 + n = -1.802775638 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + n = -1.802775638 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + n = -1.802775638 + -3.5 n = -1.802775638 + -3.5 Combine like terms: -1.802775638 + -3.5 = -5.302775638 n = -5.302775638 Simplifying n = -5.302775638Solution
The solution to the problem is based on the solutions from the subproblems. n = {-1.697224362, -5.302775638}
| x^2-3=-2 | | 25h^2-16=0 | | 3x^2+8x-9=2x | | 6x+15=4x+29 | | 64k^2-49=0 | | x^2+9x+160=0 | | 81-4b^2= | | 3w+7=x | | 8a-10=9+10a | | 6c^2+25c-9=0 | | b^2-6b-40=0 | | 25q^2-16=0 | | (7b+3)(4b-12)=0 | | 5(x-2)+52=-2x | | 5x+2=4x+7 | | 11x^2-x=3 | | 6x+15=4x+11 | | Y=(0.6)2 | | (x+8)+(x+3)=21 | | Y=(0.6)1 | | Y=(0.6)0 | | 4(y-15)=4y | | Y=(0.6)-1 | | 2x^2+x-14=0 | | Y=(0.6)-2 | | 6x+15=9x+11 | | 10x^3=-360x | | Y=(0.6)-5 | | 4x^2+100=40x | | 2x^2+98=28x | | Y=(0.6)-6 | | d^2-4d=0 |