If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 3x = 15 Reorder the terms: 3x + 2x2 = 15 Solving 3x + 2x2 = 15 Solving for variable 'x'. Reorder the terms: -15 + 3x + 2x2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 3x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -7.5 + 1.5x + x2 = 0 Move the constant term to the right: Add '7.5' to each side of the equation. -7.5 + 1.5x + 7.5 + x2 = 0 + 7.5 Reorder the terms: -7.5 + 7.5 + 1.5x + x2 = 0 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 1.5x + x2 = 0 + 7.5 1.5x + x2 = 0 + 7.5 Combine like terms: 0 + 7.5 = 7.5 1.5x + x2 = 7.5 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = 7.5 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = 7.5 + 0.5625 Combine like terms: 7.5 + 0.5625 = 8.0625 0.5625 + 1.5x + x2 = 8.0625 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = 8.0625 Calculate the square root of the right side: 2.839454173 Break this problem into two subproblems by setting (x + 0.75) equal to 2.839454173 and -2.839454173.Subproblem 1
x + 0.75 = 2.839454173 Simplifying x + 0.75 = 2.839454173 Reorder the terms: 0.75 + x = 2.839454173 Solving 0.75 + x = 2.839454173 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = 2.839454173 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = 2.839454173 + -0.75 x = 2.839454173 + -0.75 Combine like terms: 2.839454173 + -0.75 = 2.089454173 x = 2.089454173 Simplifying x = 2.089454173Subproblem 2
x + 0.75 = -2.839454173 Simplifying x + 0.75 = -2.839454173 Reorder the terms: 0.75 + x = -2.839454173 Solving 0.75 + x = -2.839454173 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = -2.839454173 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = -2.839454173 + -0.75 x = -2.839454173 + -0.75 Combine like terms: -2.839454173 + -0.75 = -3.589454173 x = -3.589454173 Simplifying x = -3.589454173Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.089454173, -3.589454173}
| 3x-5(x-4)=-8+3x-2 | | 11x-9=6x+11 | | -14-2n=n+7 | | 8r+1=12r+27 | | 3y+505=1000 | | 3z-7+8z=6+11z-3 | | 8a^5-8a^4-48a^3= | | 11x-=6x+11 | | -4=x^2+3x | | 2z+3+z=6 | | -5+7+2k-3k+1k=8+7 | | 17x^3y^2+51xy= | | 4m+-5=21 | | -3y-1+2y=3y-19-2y | | 3-(x+4)+5=3x+10-4x | | 2a+7= | | 6y^2-6y-12= | | 5x+4=8x+5 | | -6n-6+8n=-5+2n-1 | | 200-4x=32+24 | | 2x+14-3x=-56 | | 100-(t-6)=-(t-1) | | y=-4x-14 | | 2r^2-2r-24=0 | | 3(y+4)-2(y-3)= | | 11(x-3)-4=9x+3 | | 8-8x=89-31x | | 8-8x=89-31x | | 0.20(x+4)+0.65x=0.20(854) | | 4x^3-8x=-4 | | 8-10x=89-31x | | 3m-6=10 |