If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x(2x + 1) = 12 Reorder the terms: x(1 + 2x) = 12 (1 * x + 2x * x) = 12 (1x + 2x2) = 12 Solving 1x + 2x2 = 12 Solving for variable 'x'. Reorder the terms: -12 + 1x + 2x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 1x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -6 + 0.5x + x2 = 0 Move the constant term to the right: Add '6' to each side of the equation. -6 + 0.5x + 6 + x2 = 0 + 6 Reorder the terms: -6 + 6 + 0.5x + x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 0.5x + x2 = 0 + 6 0.5x + x2 = 0 + 6 Combine like terms: 0 + 6 = 6 0.5x + x2 = 6 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = 6 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = 6 + 0.0625 Combine like terms: 6 + 0.0625 = 6.0625 0.0625 + 0.5x + x2 = 6.0625 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = 6.0625 Calculate the square root of the right side: 2.46221445 Break this problem into two subproblems by setting (x + 0.25) equal to 2.46221445 and -2.46221445.Subproblem 1
x + 0.25 = 2.46221445 Simplifying x + 0.25 = 2.46221445 Reorder the terms: 0.25 + x = 2.46221445 Solving 0.25 + x = 2.46221445 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + x = 2.46221445 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + x = 2.46221445 + -0.25 x = 2.46221445 + -0.25 Combine like terms: 2.46221445 + -0.25 = 2.21221445 x = 2.21221445 Simplifying x = 2.21221445Subproblem 2
x + 0.25 = -2.46221445 Simplifying x + 0.25 = -2.46221445 Reorder the terms: 0.25 + x = -2.46221445 Solving 0.25 + x = -2.46221445 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + x = -2.46221445 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + x = -2.46221445 + -0.25 x = -2.46221445 + -0.25 Combine like terms: -2.46221445 + -0.25 = -2.71221445 x = -2.71221445 Simplifying x = -2.71221445Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.21221445, -2.71221445}
| 2x^2+x=12 | | =56+78 | | 3x+12=(-15) | | -30=-t-t^2 | | 8(3x+2)=(-56) | | 0.9(x+70)+0.3x=99 | | -24=-16t^2+8t | | 28+4x=16-2x | | 3u^2+13u=-4 | | 205-3x=33x+21 | | 6x+10=2x+69 | | 9-7x=40-14x | | -6x-6y=-36 | | 4x-x=x+9 | | 135x^3+625x^3= | | -11-6x=10-9x | | x+11x+10=-4x+x+5 | | 11+(x-2)+x=39 | | 3x^2-20x-1=0 | | 0.6x-0.4(80+x)=-0.3(80) | | 32=p+(p-4) | | 35x^2+23x-72= | | 45*12*.08*360= | | 5(x-3)=3(x-5) | | 12y+7=2y+32 | | 8x-4=0 | | 2x+1=180 | | 3x-32=152 | | 7(7c-1)-14=47c+7 | | -6n+16=-2n-16 | | 7x-8=180 | | 3y+6=180 |