If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 154 = (9 + w)(w) Reorder the terms for easier multiplication: 154 = w(9 + w) 154 = (9 * w + w * w) 154 = (9w + w2) Solving 154 = 9w + w2 Solving for variable 'w'. Reorder the terms: 154 + -9w + -1w2 = 9w + -9w + w2 + -1w2 Combine like terms: 9w + -9w = 0 154 + -9w + -1w2 = 0 + w2 + -1w2 154 + -9w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 154 + -9w + -1w2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -154 + 9w + w2 = 0 Move the constant term to the right: Add '154' to each side of the equation. -154 + 9w + 154 + w2 = 0 + 154 Reorder the terms: -154 + 154 + 9w + w2 = 0 + 154 Combine like terms: -154 + 154 = 0 0 + 9w + w2 = 0 + 154 9w + w2 = 0 + 154 Combine like terms: 0 + 154 = 154 9w + w2 = 154 The w term is 9w. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9w + 20.25 + w2 = 154 + 20.25 Reorder the terms: 20.25 + 9w + w2 = 154 + 20.25 Combine like terms: 154 + 20.25 = 174.25 20.25 + 9w + w2 = 174.25 Factor a perfect square on the left side: (w + 4.5)(w + 4.5) = 174.25 Calculate the square root of the right side: 13.200378782 Break this problem into two subproblems by setting (w + 4.5) equal to 13.200378782 and -13.200378782.Subproblem 1
w + 4.5 = 13.200378782 Simplifying w + 4.5 = 13.200378782 Reorder the terms: 4.5 + w = 13.200378782 Solving 4.5 + w = 13.200378782 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + w = 13.200378782 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + w = 13.200378782 + -4.5 w = 13.200378782 + -4.5 Combine like terms: 13.200378782 + -4.5 = 8.700378782 w = 8.700378782 Simplifying w = 8.700378782Subproblem 2
w + 4.5 = -13.200378782 Simplifying w + 4.5 = -13.200378782 Reorder the terms: 4.5 + w = -13.200378782 Solving 4.5 + w = -13.200378782 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + w = -13.200378782 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + w = -13.200378782 + -4.5 w = -13.200378782 + -4.5 Combine like terms: -13.200378782 + -4.5 = -17.700378782 w = -17.700378782 Simplifying w = -17.700378782Solution
The solution to the problem is based on the solutions from the subproblems. w = {8.700378782, -17.700378782}
| 3/4=1/8x | | 20=0/4 | | x+(x+1)=119 | | (w)(w)+40w=384 | | 6u^4-120u^3v+600u^2v^2=0 | | 2.1k-50=7.3k-39.6 | | 5(x+9)+2=2(4x+4) | | 0.67y-1=-4x | | 8n-11=2n+17 | | (x^2)/x-1 | | 4cos^2x-coax-5=0 | | 0.5x-2=0.18x+6 | | a+(.50a)+2(.50a)-1=189 | | -(1+6x)=9+8(4x-6) | | y-7=-10/5(x=3) | | 8/3=16/4 | | 4(x-10)=2x | | -(1+6x)=9+8(4x-8) | | z-8/20=18 | | 9.5b+10.933=9.2b+11.893 | | x^2-x+(-6)=0 | | -7(-7x+7)+2=2(2-x) | | 3x+2-x=9+x+6 | | 2x^2=-6 | | 50+0.45x=40+0.55x | | 5+18x=4-24x | | 2(1-6x)=2(1-3x) | | 9x9/5 | | 12-7=41 | | 5m^3-50m^2n+120n^2m=0 | | 0.69x+8=1.09x | | (6n+1)+n=90 |