If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 500 = 2.5w2 + -4w Reorder the terms: 500 = -4w + 2.5w2 Solving 500 = -4w + 2.5w2 Solving for variable 'w'. Reorder the terms: 500 + 4w + -2.5w2 = -4w + 4w + 2.5w2 + -2.5w2 Combine like terms: -4w + 4w = 0 500 + 4w + -2.5w2 = 0 + 2.5w2 + -2.5w2 500 + 4w + -2.5w2 = 2.5w2 + -2.5w2 Combine like terms: 2.5w2 + -2.5w2 = 0.0 500 + 4w + -2.5w2 = 0.0 Begin completing the square. Divide all terms by -2.5 the coefficient of the squared term: Divide each side by '-2.5'. -200 + -1.6w + w2 = 0 Move the constant term to the right: Add '200' to each side of the equation. -200 + -1.6w + 200 + w2 = 0 + 200 Reorder the terms: -200 + 200 + -1.6w + w2 = 0 + 200 Combine like terms: -200 + 200 = 0 0 + -1.6w + w2 = 0 + 200 -1.6w + w2 = 0 + 200 Combine like terms: 0 + 200 = 200 -1.6w + w2 = 200 The w term is -1.6w. Take half its coefficient (-0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. -1.6w + 0.64 + w2 = 200 + 0.64 Reorder the terms: 0.64 + -1.6w + w2 = 200 + 0.64 Combine like terms: 200 + 0.64 = 200.64 0.64 + -1.6w + w2 = 200.64 Factor a perfect square on the left side: (w + -0.8)(w + -0.8) = 200.64 Calculate the square root of the right side: 14.164744968 Break this problem into two subproblems by setting (w + -0.8) equal to 14.164744968 and -14.164744968.Subproblem 1
w + -0.8 = 14.164744968 Simplifying w + -0.8 = 14.164744968 Reorder the terms: -0.8 + w = 14.164744968 Solving -0.8 + w = 14.164744968 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.8' to each side of the equation. -0.8 + 0.8 + w = 14.164744968 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + w = 14.164744968 + 0.8 w = 14.164744968 + 0.8 Combine like terms: 14.164744968 + 0.8 = 14.964744968 w = 14.964744968 Simplifying w = 14.964744968Subproblem 2
w + -0.8 = -14.164744968 Simplifying w + -0.8 = -14.164744968 Reorder the terms: -0.8 + w = -14.164744968 Solving -0.8 + w = -14.164744968 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.8' to each side of the equation. -0.8 + 0.8 + w = -14.164744968 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + w = -14.164744968 + 0.8 w = -14.164744968 + 0.8 Combine like terms: -14.164744968 + 0.8 = -13.364744968 w = -13.364744968 Simplifying w = -13.364744968Solution
The solution to the problem is based on the solutions from the subproblems. w = {14.964744968, -13.364744968}
| y=4y+10 | | M=5sg^4-7sxforX | | (2x-y)9= | | 2a=5w-4 | | -1/3(6-9w)-4w-7=0 | | -2x+-6y=18fory | | 3(f+7.50)=40 | | 18/(11x)=14 | | 70=.31x | | 5a=4+2b | | 4(2n-5)=(4n+1)+7 | | 4-4h=2(1+2h+h) | | r/9= | | 18/11x=14 | | x-[30000/x]=100 | | k/7-k=6 | | 5w=4+2l | | 5-0.5x=0.625x+2 | | 12y=10 | | -x+5=-64-x | | -5a-a-10=50 | | 8z-11z=32+42 | | 4(3x-9)-6=4(x-3)+18 | | ((x^(-1/5))/y^(1/3))^30=0 | | 4x-9(9-3x)=8x+1 | | 6z=1/3 | | 4x+6+2x=90 | | 15=5n | | y=7ln(12x) | | -3(5x-3)+4x=7(x+1) | | 17x=6-(-11) | | r/98= |