If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 105.5 + -0.1x = 0.01x2 + 5.75 Reorder the terms: 105.5 + -0.1x = 5.75 + 0.01x2 Solving 105.5 + -0.1x = 5.75 + 0.01x2 Solving for variable 'x'. Reorder the terms: 105.5 + -5.75 + -0.1x + -0.01x2 = 5.75 + 0.01x2 + -5.75 + -0.01x2 Combine like terms: 105.5 + -5.75 = 99.75 99.75 + -0.1x + -0.01x2 = 5.75 + 0.01x2 + -5.75 + -0.01x2 Reorder the terms: 99.75 + -0.1x + -0.01x2 = 5.75 + -5.75 + 0.01x2 + -0.01x2 Combine like terms: 5.75 + -5.75 = 0.00 99.75 + -0.1x + -0.01x2 = 0.00 + 0.01x2 + -0.01x2 99.75 + -0.1x + -0.01x2 = 0.01x2 + -0.01x2 Combine like terms: 0.01x2 + -0.01x2 = 0.00 99.75 + -0.1x + -0.01x2 = 0.00 Begin completing the square. Divide all terms by -0.01 the coefficient of the squared term: Divide each side by '-0.01'. -9975 + 10x + x2 = 0 Move the constant term to the right: Add '9975' to each side of the equation. -9975 + 10x + 9975 + x2 = 0 + 9975 Reorder the terms: -9975 + 9975 + 10x + x2 = 0 + 9975 Combine like terms: -9975 + 9975 = 0 0 + 10x + x2 = 0 + 9975 10x + x2 = 0 + 9975 Combine like terms: 0 + 9975 = 9975 10x + x2 = 9975 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = 9975 + 25 Reorder the terms: 25 + 10x + x2 = 9975 + 25 Combine like terms: 9975 + 25 = 10000 25 + 10x + x2 = 10000 Factor a perfect square on the left side: (x + 5)(x + 5) = 10000 Calculate the square root of the right side: 100 Break this problem into two subproblems by setting (x + 5) equal to 100 and -100.Subproblem 1
x + 5 = 100 Simplifying x + 5 = 100 Reorder the terms: 5 + x = 100 Solving 5 + x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 100 + -5 Combine like terms: 5 + -5 = 0 0 + x = 100 + -5 x = 100 + -5 Combine like terms: 100 + -5 = 95 x = 95 Simplifying x = 95Subproblem 2
x + 5 = -100 Simplifying x + 5 = -100 Reorder the terms: 5 + x = -100 Solving 5 + x = -100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = -100 + -5 Combine like terms: 5 + -5 = 0 0 + x = -100 + -5 x = -100 + -5 Combine like terms: -100 + -5 = -105 x = -105 Simplifying x = -105Solution
The solution to the problem is based on the solutions from the subproblems. x = {95, -105}
| -1b-8=-10 | | x+3x+17=97 | | -7(1-5x)+7(x+1)=0 | | 0.75t=-15 | | 0.13(x+50)=30.00 | | 7p-4=45 | | -(-5x-v+2)= | | 5x-7.7=15.4+8.3x | | 75+10x=115 | | 6y-8x+4=0 | | 5a+6t=18 | | 7(4+5r)+7(r-2)=56 | | 2d+5=6d+11 | | 4.1x+1=3.1x | | 14=5x+5 | | 11x^2-12x-1=0 | | x^2+10x-9975=0 | | 8x-6y+4=0 | | 2r-13=7 | | 60x-10=0 | | 3x-150=0 | | 2.5n-4=11.5n | | 7d+4=2d+19 | | -2(1-5x)=30+2x | | 26=4+2*x | | 2x^2-3=47 | | 100-8x=28 | | 100-8x=44 | | 2l+2w=120 | | n-6=-26 | | 8x^2=3x+5 | | 3x+4/x-2=5/6 |