If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.5(x + 2)(x) = 30 Reorder the terms: 0.5(2 + x)(x) = 30 Reorder the terms for easier multiplication: 0.5x(2 + x) = 30 (2 * 0.5x + x * 0.5x) = 30 (1x + 0.5x2) = 30 Solving 1x + 0.5x2 = 30 Solving for variable 'x'. Reorder the terms: -30 + 1x + 0.5x2 = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 1x + 0.5x2 = 0 Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. -60 + 2x + x2 = 0 Move the constant term to the right: Add '60' to each side of the equation. -60 + 2x + 60 + x2 = 0 + 60 Reorder the terms: -60 + 60 + 2x + x2 = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 2x + x2 = 0 + 60 2x + x2 = 0 + 60 Combine like terms: 0 + 60 = 60 2x + x2 = 60 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = 60 + 1 Reorder the terms: 1 + 2x + x2 = 60 + 1 Combine like terms: 60 + 1 = 61 1 + 2x + x2 = 61 Factor a perfect square on the left side: (x + 1)(x + 1) = 61 Calculate the square root of the right side: 7.810249676 Break this problem into two subproblems by setting (x + 1) equal to 7.810249676 and -7.810249676.Subproblem 1
x + 1 = 7.810249676 Simplifying x + 1 = 7.810249676 Reorder the terms: 1 + x = 7.810249676 Solving 1 + x = 7.810249676 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 7.810249676 + -1 Combine like terms: 1 + -1 = 0 0 + x = 7.810249676 + -1 x = 7.810249676 + -1 Combine like terms: 7.810249676 + -1 = 6.810249676 x = 6.810249676 Simplifying x = 6.810249676Subproblem 2
x + 1 = -7.810249676 Simplifying x + 1 = -7.810249676 Reorder the terms: 1 + x = -7.810249676 Solving 1 + x = -7.810249676 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -7.810249676 + -1 Combine like terms: 1 + -1 = 0 0 + x = -7.810249676 + -1 x = -7.810249676 + -1 Combine like terms: -7.810249676 + -1 = -8.810249676 x = -8.810249676 Simplifying x = -8.810249676Solution
The solution to the problem is based on the solutions from the subproblems. x = {6.810249676, -8.810249676}
| 24x^2+14x+7=0 | | 2-.75z=1.25z+9 | | 2Y-6=-1-2Y | | 5x+2+x=180 | | c+28=8c | | .10(y-5)+.05y=.14y-0.6 | | 9x-11+7x+3= | | 2/3(6x+1/2)=5x-2/3 | | 16/10=n+2/5 | | 20+15m=40+10m | | 5/11-6/11 | | 5x+17+7x-29= | | b^2-11b+28=-2 | | 8z+15=-41 | | a+b-2c+4a-12b-6c= | | 182-4x+x=180 | | 4(1+6n)=38+7n | | 3f+24=4-1f | | 6/11-5/11 | | y=4x+14 | | I/15+3/5=4/5 | | 28=14/15X | | 4/5*6-9/5 | | 2=12C+5 | | x^3-7x^2-245x+1275=0 | | 6x-5+9x+9=54 | | 4d+12=-28 | | 11-10m=-159 | | 21+(x+3)x=180 | | 30=.5(x+2)(x) | | 5/11+8/11+6/11 | | G/20+4/5=4/5 |