If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -0.01x2 + -0.2x + 8 = 0.01x2 + 0.1x + 3 Reorder the terms: 8 + -0.2x + -0.01x2 = 0.01x2 + 0.1x + 3 Reorder the terms: 8 + -0.2x + -0.01x2 = 3 + 0.1x + 0.01x2 Solving 8 + -0.2x + -0.01x2 = 3 + 0.1x + 0.01x2 Solving for variable 'x'. Reorder the terms: 8 + -3 + -0.2x + -0.1x + -0.01x2 + -0.01x2 = 3 + 0.1x + 0.01x2 + -3 + -0.1x + -0.01x2 Combine like terms: 8 + -3 = 5 5 + -0.2x + -0.1x + -0.01x2 + -0.01x2 = 3 + 0.1x + 0.01x2 + -3 + -0.1x + -0.01x2 Combine like terms: -0.2x + -0.1x = -0.3x 5 + -0.3x + -0.01x2 + -0.01x2 = 3 + 0.1x + 0.01x2 + -3 + -0.1x + -0.01x2 Combine like terms: -0.01x2 + -0.01x2 = -0.02x2 5 + -0.3x + -0.02x2 = 3 + 0.1x + 0.01x2 + -3 + -0.1x + -0.01x2 Reorder the terms: 5 + -0.3x + -0.02x2 = 3 + -3 + 0.1x + -0.1x + 0.01x2 + -0.01x2 Combine like terms: 3 + -3 = 0 5 + -0.3x + -0.02x2 = 0 + 0.1x + -0.1x + 0.01x2 + -0.01x2 5 + -0.3x + -0.02x2 = 0.1x + -0.1x + 0.01x2 + -0.01x2 Combine like terms: 0.1x + -0.1x = 0.0 5 + -0.3x + -0.02x2 = 0.0 + 0.01x2 + -0.01x2 5 + -0.3x + -0.02x2 = 0.01x2 + -0.01x2 Combine like terms: 0.01x2 + -0.01x2 = 0.00 5 + -0.3x + -0.02x2 = 0.00 Begin completing the square. Divide all terms by -0.02 the coefficient of the squared term: Divide each side by '-0.02'. -250 + 15x + x2 = 0 Move the constant term to the right: Add '250' to each side of the equation. -250 + 15x + 250 + x2 = 0 + 250 Reorder the terms: -250 + 250 + 15x + x2 = 0 + 250 Combine like terms: -250 + 250 = 0 0 + 15x + x2 = 0 + 250 15x + x2 = 0 + 250 Combine like terms: 0 + 250 = 250 15x + x2 = 250 The x term is 15x. Take half its coefficient (7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. 15x + 56.25 + x2 = 250 + 56.25 Reorder the terms: 56.25 + 15x + x2 = 250 + 56.25 Combine like terms: 250 + 56.25 = 306.25 56.25 + 15x + x2 = 306.25 Factor a perfect square on the left side: (x + 7.5)(x + 7.5) = 306.25 Calculate the square root of the right side: 17.5 Break this problem into two subproblems by setting (x + 7.5) equal to 17.5 and -17.5.Subproblem 1
x + 7.5 = 17.5 Simplifying x + 7.5 = 17.5 Reorder the terms: 7.5 + x = 17.5 Solving 7.5 + x = 17.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + x = 17.5 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + x = 17.5 + -7.5 x = 17.5 + -7.5 Combine like terms: 17.5 + -7.5 = 10 x = 10 Simplifying x = 10Subproblem 2
x + 7.5 = -17.5 Simplifying x + 7.5 = -17.5 Reorder the terms: 7.5 + x = -17.5 Solving 7.5 + x = -17.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + x = -17.5 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + x = -17.5 + -7.5 x = -17.5 + -7.5 Combine like terms: -17.5 + -7.5 = -25 x = -25 Simplifying x = -25Solution
The solution to the problem is based on the solutions from the subproblems. x = {10, -25}
| 14=r/15 | | 6.60=0.4x+5.35 | | 4=a/10 | | (-25)(-20)/(-25)-(20) | | y=0.4(5)+5.35 | | y=0.4(3)+5.35 | | y=0.4(1)+5.35 | | 4c-18=16 | | 2y=ay+10 | | 4300=20x+3000 | | n+(-10)=2 | | 1/b=12 | | y=20(300)+3000 | | k-(-6)=1 | | y=20(200)+3000 | | y=20(100)+3000 | | 1.2x^2-x=25 | | 5.2=-logx | | 9=x/16 | | y=5x^3-23x^2-10x | | 5.2=-log[x] | | 2+685+85=e | | 3x+39=108 | | (1/5)/1/45 | | 4sinx=1 | | 5(4x+5)=50 | | 1/5/1/45 | | 5(w*w)-3w-17=0 | | sin(5x)-sin(3x)=0 | | 0=1/2x+2 | | 0.65x+0.05(2-x)=0.10(73) | | 3/10/20/19= |