If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -0.5x2 + 0.5x + 15 = 0 Reorder the terms: 15 + 0.5x + -0.5x2 = 0 Solving 15 + 0.5x + -0.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -0.5 the coefficient of the squared term: Divide each side by '-0.5'. -30 + -1x + x2 = 0 Move the constant term to the right: Add '30' to each side of the equation. -30 + -1x + 30 + x2 = 0 + 30 Reorder the terms: -30 + 30 + -1x + x2 = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1x + x2 = 0 + 30 -1x + x2 = 0 + 30 Combine like terms: 0 + 30 = 30 -1x + x2 = 30 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = 30 + 0.25 Reorder the terms: 0.25 + -1x + x2 = 30 + 0.25 Combine like terms: 30 + 0.25 = 30.25 0.25 + -1x + x2 = 30.25 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = 30.25 Calculate the square root of the right side: 5.5 Break this problem into two subproblems by setting (x + -0.5) equal to 5.5 and -5.5.Subproblem 1
x + -0.5 = 5.5 Simplifying x + -0.5 = 5.5 Reorder the terms: -0.5 + x = 5.5 Solving -0.5 + x = 5.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = 5.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = 5.5 + 0.5 x = 5.5 + 0.5 Combine like terms: 5.5 + 0.5 = 6 x = 6 Simplifying x = 6Subproblem 2
x + -0.5 = -5.5 Simplifying x + -0.5 = -5.5 Reorder the terms: -0.5 + x = -5.5 Solving -0.5 + x = -5.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = -5.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = -5.5 + 0.5 x = -5.5 + 0.5 Combine like terms: -5.5 + 0.5 = -5 x = -5 Simplifying x = -5Solution
The solution to the problem is based on the solutions from the subproblems. x = {6, -5}
| (3y+23)=(9y-11) | | 198s+48s^2-81= | | -3x+12=-5x+12 | | 138b+48b^2-81= | | =10000000 | | 8s^2+22st+14t^2= | | -80x^2+176xy-84y^2= | | x-3+3=0 | | 1000(x)=25+9x | | 2x-3+x+11=-3x-6+12x | | x-3+0=0 | | x-3-1=0 | | 50-3x=12+2x | | 11x+13y=160 | | 5(x+13)=2x+75 | | -1x-2=-1 | | 80-12x=38 | | f(x)=lnx^6 | | 45=2/t^2-t | | 45=t^2-t/2 | | 1/3-6/7u=-1/2 | | -0.00635x^2+630=0 | | -2(5x-5)+3(4x+2)+10x(10x+5)=5(12x+3)+2x-29 | | 4^13/4^7 | | 9m+5m-4n+6n=0 | | 8x-9=10x+23 | | 7(5x+2)=33 | | Y^2+32y+240=0 | | (5-9x)(6+3x)=0 | | -3x+7=4x-3 | | 3(x+z)= | | Y=-2+-5x |