If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6.75 = 0.5x2 + -0.5x + 0.75 Reorder the terms: 6.75 = 0.75 + -0.5x + 0.5x2 Solving 6.75 = 0.75 + -0.5x + 0.5x2 Solving for variable 'x'. Combine like terms: 6.75 + -0.75 = 6 6 + 0.5x + -0.5x2 = 0.75 + -0.5x + 0.5x2 + -0.75 + 0.5x + -0.5x2 Reorder the terms: 6 + 0.5x + -0.5x2 = 0.75 + -0.75 + -0.5x + 0.5x + 0.5x2 + -0.5x2 Combine like terms: 0.75 + -0.75 = 0.00 6 + 0.5x + -0.5x2 = 0.00 + -0.5x + 0.5x + 0.5x2 + -0.5x2 6 + 0.5x + -0.5x2 = -0.5x + 0.5x + 0.5x2 + -0.5x2 Combine like terms: -0.5x + 0.5x = 0.0 6 + 0.5x + -0.5x2 = 0.0 + 0.5x2 + -0.5x2 6 + 0.5x + -0.5x2 = 0.5x2 + -0.5x2 Combine like terms: 0.5x2 + -0.5x2 = 0.0 6 + 0.5x + -0.5x2 = 0.0 Begin completing the square. Divide all terms by -0.5 the coefficient of the squared term: Divide each side by '-0.5'. -12 + -1x + x2 = 0 Move the constant term to the right: Add '12' to each side of the equation. -12 + -1x + 12 + x2 = 0 + 12 Reorder the terms: -12 + 12 + -1x + x2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x + x2 = 0 + 12 -1x + x2 = 0 + 12 Combine like terms: 0 + 12 = 12 -1x + x2 = 12 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 = 12 + 0.25 Reorder the terms: 0.25 + -1x + x2 = 12 + 0.25 Combine like terms: 12 + 0.25 = 12.25 0.25 + -1x + x2 = 12.25 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = 12.25 Calculate the square root of the right side: 3.5 Break this problem into two subproblems by setting (x + -0.5) equal to 3.5 and -3.5.Subproblem 1
x + -0.5 = 3.5 Simplifying x + -0.5 = 3.5 Reorder the terms: -0.5 + x = 3.5 Solving -0.5 + x = 3.5 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 = 3.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = 3.5 + 0.5 x = 3.5 + 0.5 Combine like terms: 3.5 + 0.5 = 4 x = 4 Simplifying x = 4Subproblem 2
x + -0.5 = -3.5 Simplifying x + -0.5 = -3.5 Reorder the terms: -0.5 + x = -3.5 Solving -0.5 + x = -3.5 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 = -3.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = -3.5 + 0.5 x = -3.5 + 0.5 Combine like terms: -3.5 + 0.5 = -3 x = -3 Simplifying x = -3Solution
The solution to the problem is based on the solutions from the subproblems. x = {4, -3}
| 85+x=x+109 | | 5/2y-1=7/3y-2 | | (8k-7)(2k-3)= | | 7+2k-2k=k-5+5 | | 3x^2+15+19=0 | | 34x^2+55x-89=0 | | 65-1+2-1= | | 2x-5(x-5)=-3+5x-28 | | (5n+1)(3n-3)= | | 2(4x+5)=-22+4c | | 15-6x=9x-30 | | 3x/8-3/2=3/4 | | 18x-2=16x+10 | | 26-7=11 | | -3(y-x)=15 | | 12-7=26 | | (n+7)(4n+8)= | | 7-12=26 | | 6(x+2)=4-(3-2x)+17 | | 15d+4=8d+25 | | 10x+16x=2-18x | | Y=-2(x+3)(x+4) | | -11-4x=53 | | 6x7/2x4 | | 2 = n4– 2 | | -4v-8(3v-1)=37+v | | 3+3t=12 | | 16=3(4+x) | | 5/4=x/6.55 | | (3n+2)(n+1)= | | X^2+2x-20=x | | -32=(2x-3) |