If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (k + 5)(k + 5) = 90 Reorder the terms: (5 + k)(k + 5) = 90 Reorder the terms: (5 + k)(5 + k) = 90 Multiply (5 + k) * (5 + k) (5(5 + k) + k(5 + k)) = 90 ((5 * 5 + k * 5) + k(5 + k)) = 90 ((25 + 5k) + k(5 + k)) = 90 (25 + 5k + (5 * k + k * k)) = 90 (25 + 5k + (5k + k2)) = 90 Combine like terms: 5k + 5k = 10k (25 + 10k + k2) = 90 Solving 25 + 10k + k2 = 90 Solving for variable 'k'. Reorder the terms: 25 + -90 + 10k + k2 = 90 + -90 Combine like terms: 25 + -90 = -65 -65 + 10k + k2 = 90 + -90 Combine like terms: 90 + -90 = 0 -65 + 10k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '65' to each side of the equation. -65 + 10k + 65 + k2 = 0 + 65 Reorder the terms: -65 + 65 + 10k + k2 = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 10k + k2 = 0 + 65 10k + k2 = 0 + 65 Combine like terms: 0 + 65 = 65 10k + k2 = 65 The k term is 10k. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10k + 25 + k2 = 65 + 25 Reorder the terms: 25 + 10k + k2 = 65 + 25 Combine like terms: 65 + 25 = 90 25 + 10k + k2 = 90 Factor a perfect square on the left side: (k + 5)(k + 5) = 90 Calculate the square root of the right side: 9.486832981 Break this problem into two subproblems by setting (k + 5) equal to 9.486832981 and -9.486832981.Subproblem 1
k + 5 = 9.486832981 Simplifying k + 5 = 9.486832981 Reorder the terms: 5 + k = 9.486832981 Solving 5 + k = 9.486832981 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + k = 9.486832981 + -5 Combine like terms: 5 + -5 = 0 0 + k = 9.486832981 + -5 k = 9.486832981 + -5 Combine like terms: 9.486832981 + -5 = 4.486832981 k = 4.486832981 Simplifying k = 4.486832981Subproblem 2
k + 5 = -9.486832981 Simplifying k + 5 = -9.486832981 Reorder the terms: 5 + k = -9.486832981 Solving 5 + k = -9.486832981 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + k = -9.486832981 + -5 Combine like terms: 5 + -5 = 0 0 + k = -9.486832981 + -5 k = -9.486832981 + -5 Combine like terms: -9.486832981 + -5 = -14.486832981 k = -14.486832981 Simplifying k = -14.486832981Solution
The solution to the problem is based on the solutions from the subproblems. k = {4.486832981, -14.486832981}
| -29=(10a-5)+2a | | 284+5837= | | 8w^2=88 | | 3x^4+4x^3-12x^2+32=0 | | 63=-3+-6n | | factorp(x)=3x^4-7X^3+21X^2-63X-54 | | h(x)=9x^3-x | | 2(x-3)+4=4x-6 | | p(x)=3x^4-7X^3+21X^2-63X-54 | | 2(5x+5)=3x+3 | | 4x^3+8x^2+12x=0 | | m+5+7=25 | | 5x-1/18=11-x/18 | | 44=4(3x-4) | | 7x-17=5x+5 | | 3cos(2x+30)=1.5 | | 8x-11=-x-38 | | 0.5xn=3 | | 4x-7/3=5x/3 | | x+1.80=12 | | u=x^2y-3y | | 6.00-2.25=0 | | x-7/3=2 | | 1-7x=31+3x | | 2m+7=-9 | | 5(2.25+6)= | | 1/2x-2=-8 | | 3(x*x)=75 | | x/2-2x/3=7 | | 3XSQ=75 | | 9x+81=567 | | 6x-(-49)=181 |