If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2(h + -5) * h = h + -10 Reorder the terms: 2(-5 + h) * h = h + -10 Reorder the terms for easier multiplication: 2h(-5 + h) = h + -10 (-5 * 2h + h * 2h) = h + -10 (-10h + 2h2) = h + -10 Reorder the terms: -10h + 2h2 = -10 + h Solving -10h + 2h2 = -10 + h Solving for variable 'h'. Reorder the terms: 10 + -10h + -1h + 2h2 = -10 + h + 10 + -1h Combine like terms: -10h + -1h = -11h 10 + -11h + 2h2 = -10 + h + 10 + -1h Reorder the terms: 10 + -11h + 2h2 = -10 + 10 + h + -1h Combine like terms: -10 + 10 = 0 10 + -11h + 2h2 = 0 + h + -1h 10 + -11h + 2h2 = h + -1h Combine like terms: h + -1h = 0 10 + -11h + 2h2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 5 + -5.5h + h2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -5.5h + -5 + h2 = 0 + -5 Reorder the terms: 5 + -5 + -5.5h + h2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -5.5h + h2 = 0 + -5 -5.5h + h2 = 0 + -5 Combine like terms: 0 + -5 = -5 -5.5h + h2 = -5 The h term is -5.5h. Take half its coefficient (-2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. -5.5h + 7.5625 + h2 = -5 + 7.5625 Reorder the terms: 7.5625 + -5.5h + h2 = -5 + 7.5625 Combine like terms: -5 + 7.5625 = 2.5625 7.5625 + -5.5h + h2 = 2.5625 Factor a perfect square on the left side: (h + -2.75)(h + -2.75) = 2.5625 Calculate the square root of the right side: 1.600781059 Break this problem into two subproblems by setting (h + -2.75) equal to 1.600781059 and -1.600781059.Subproblem 1
h + -2.75 = 1.600781059 Simplifying h + -2.75 = 1.600781059 Reorder the terms: -2.75 + h = 1.600781059 Solving -2.75 + h = 1.600781059 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '2.75' to each side of the equation. -2.75 + 2.75 + h = 1.600781059 + 2.75 Combine like terms: -2.75 + 2.75 = 0.00 0.00 + h = 1.600781059 + 2.75 h = 1.600781059 + 2.75 Combine like terms: 1.600781059 + 2.75 = 4.350781059 h = 4.350781059 Simplifying h = 4.350781059Subproblem 2
h + -2.75 = -1.600781059 Simplifying h + -2.75 = -1.600781059 Reorder the terms: -2.75 + h = -1.600781059 Solving -2.75 + h = -1.600781059 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '2.75' to each side of the equation. -2.75 + 2.75 + h = -1.600781059 + 2.75 Combine like terms: -2.75 + 2.75 = 0.00 0.00 + h = -1.600781059 + 2.75 h = -1.600781059 + 2.75 Combine like terms: -1.600781059 + 2.75 = 1.149218941 h = 1.149218941 Simplifying h = 1.149218941Solution
The solution to the problem is based on the solutions from the subproblems. h = {4.350781059, 1.149218941}
| 8-3x=-4x-12 | | 2(x)-8=40 | | 28-5t=2t | | 4-2=y+10 | | 3x+2=2x-11 | | 2y^2-3y-20=0 | | 5x-2=6x+3 | | 15x^2-28x-32=0 | | x^2+3x-21=0 | | 800r+12-7=2r | | 6(y+2)+5=59 | | -5y=-60 | | 4x+16=11x+47 | | 5x+4x-10=7x+7x | | 5(2x+1)=8(x+7) | | 65=z+34 | | 4d+d-6d-9-2d=0 | | y+2y+8=3y | | 11+5p=-8(-7p+5) | | y+9=-10 | | -112x=448 | | 4d+d-6d-d-2d=0 | | 4x-5=2x+3*3 | | X+4X+5X-14=180 | | 5n^2+2n+7=0 | | -8k-4(-7k+4)=12+6k | | 2x^2+6x-35=0 | | |2x-3|=21 | | 25x+4=10x+30 | | 4(-3x+8)=128 | | -9=9p+11-8p | | -7(-7a-2)=259 |