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 + 1.25x + -3 = 0 Reorder the terms: -3 + 1.25x + 0.5x2 = 0 Solving -3 + 1.25x + 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'. -6 + 2.5x + x2 = 0 Move the constant term to the right: Add '6' to each side of the equation. -6 + 2.5x + 6 + x2 = 0 + 6 Reorder the terms: -6 + 6 + 2.5x + x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2.5x + x2 = 0 + 6 2.5x + x2 = 0 + 6 Combine like terms: 0 + 6 = 6 2.5x + x2 = 6 The x term is 2.5x. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x + 1.5625 + x2 = 6 + 1.5625 Reorder the terms: 1.5625 + 2.5x + x2 = 6 + 1.5625 Combine like terms: 6 + 1.5625 = 7.5625 1.5625 + 2.5x + x2 = 7.5625 Factor a perfect square on the left side: (x + 1.25)(x + 1.25) = 7.5625 Calculate the square root of the right side: 2.75 Break this problem into two subproblems by setting (x + 1.25) equal to 2.75 and -2.75.Subproblem 1
x + 1.25 = 2.75 Simplifying x + 1.25 = 2.75 Reorder the terms: 1.25 + x = 2.75 Solving 1.25 + x = 2.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = 2.75 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = 2.75 + -1.25 x = 2.75 + -1.25 Combine like terms: 2.75 + -1.25 = 1.5 x = 1.5 Simplifying x = 1.5Subproblem 2
x + 1.25 = -2.75 Simplifying x + 1.25 = -2.75 Reorder the terms: 1.25 + x = -2.75 Solving 1.25 + x = -2.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = -2.75 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = -2.75 + -1.25 x = -2.75 + -1.25 Combine like terms: -2.75 + -1.25 = -4 x = -4 Simplifying x = -4Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.5, -4}
| 36n^2-16=0 | | 5.1+b=-7.1 | | x/7+14=22 | | 0=8m+2m | | 17-x^2=14 | | 24-2x/6+x=2 | | 7+6.2n=4.3n+3(0.5n+2.4) | | 7x-5+3x+10=4x+65 | | 5y-(-0.3+6y)=0.9-0.5y | | 3/7(2z-5)=4/7(-3z+9) | | x/6+x=x-8 | | X=4(2-y) | | 75+4x+5=180 | | 4n^2+12n=9 | | 4x+5+75=180 | | 13x+5=5x+21 | | n/3+12=27 | | 10=(2.91(10))+94.16 | | -4+v=-23 | | 3x^2-12=567-x^3-5x^3-3 | | -(8x-15)+7x=21 | | 2x+(3x+1)=0 | | 32-2=13 | | (-37+6x)/(-2+x)=1 | | 0.3+0.4y=0.3y+0.9 | | 4x=6x+16 | | R=k+3w/2 | | 3x+1+12=19 | | -4y-(-0.03+6y)=12.3 | | -12=n/12 | | 4/x-5=-10/2x-1 | | 8x-1=7+6x |