If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 65 = (2x + 1)(x + 1) Reorder the terms: 65 = (1 + 2x)(x + 1) Reorder the terms: 65 = (1 + 2x)(1 + x) Multiply (1 + 2x) * (1 + x) 65 = (1(1 + x) + 2x * (1 + x)) 65 = ((1 * 1 + x * 1) + 2x * (1 + x)) 65 = ((1 + 1x) + 2x * (1 + x)) 65 = (1 + 1x + (1 * 2x + x * 2x)) 65 = (1 + 1x + (2x + 2x2)) Combine like terms: 1x + 2x = 3x 65 = (1 + 3x + 2x2) Solving 65 = 1 + 3x + 2x2 Solving for variable 'x'. Combine like terms: 65 + -1 = 64 64 + -3x + -2x2 = 1 + 3x + 2x2 + -1 + -3x + -2x2 Reorder the terms: 64 + -3x + -2x2 = 1 + -1 + 3x + -3x + 2x2 + -2x2 Combine like terms: 1 + -1 = 0 64 + -3x + -2x2 = 0 + 3x + -3x + 2x2 + -2x2 64 + -3x + -2x2 = 3x + -3x + 2x2 + -2x2 Combine like terms: 3x + -3x = 0 64 + -3x + -2x2 = 0 + 2x2 + -2x2 64 + -3x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 64 + -3x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -32 + 1.5x + x2 = 0 Move the constant term to the right: Add '32' to each side of the equation. -32 + 1.5x + 32 + x2 = 0 + 32 Reorder the terms: -32 + 32 + 1.5x + x2 = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 1.5x + x2 = 0 + 32 1.5x + x2 = 0 + 32 Combine like terms: 0 + 32 = 32 1.5x + x2 = 32 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 = 32 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = 32 + 0.5625 Combine like terms: 32 + 0.5625 = 32.5625 0.5625 + 1.5x + x2 = 32.5625 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = 32.5625 Calculate the square root of the right side: 5.706356105 Break this problem into two subproblems by setting (x + 0.75) equal to 5.706356105 and -5.706356105.Subproblem 1
x + 0.75 = 5.706356105 Simplifying x + 0.75 = 5.706356105 Reorder the terms: 0.75 + x = 5.706356105 Solving 0.75 + x = 5.706356105 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 = 5.706356105 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = 5.706356105 + -0.75 x = 5.706356105 + -0.75 Combine like terms: 5.706356105 + -0.75 = 4.956356105 x = 4.956356105 Simplifying x = 4.956356105Subproblem 2
x + 0.75 = -5.706356105 Simplifying x + 0.75 = -5.706356105 Reorder the terms: 0.75 + x = -5.706356105 Solving 0.75 + x = -5.706356105 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 = -5.706356105 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = -5.706356105 + -0.75 x = -5.706356105 + -0.75 Combine like terms: -5.706356105 + -0.75 = -6.456356105 x = -6.456356105 Simplifying x = -6.456356105Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.956356105, -6.456356105}
| 8x^4y^2+56x^2y^2-7x^2y= | | 2x^2-17=36 | | 3(x-3)-4(2-3x)=2(1-2x) | | t-16=3 | | r^2+3r-70=0 | | c=2+(-7)+(-1) | | 90=5-(2x+1) | | 4+3+(-2)=d | | x^2-2x+4a+2ax=0 | | 3t+12-7= | | m=-3+(-8)+11 | | x/6+4=15 | | -5+3+3=y | | 10y=(3y+7) | | r=9+(-4)+3 | | 26=-7+12p | | 4a^3b^6+2ab^2-16ab^6= | | 6(x-4)=-2x+40 | | 2+(-1)+6=x | | 81r^3-4r=0 | | 57=3-8n | | 2x+-5y=20 | | 6(g+3)=-2(g+21) | | 7c+12c= | | 3p^2+20p=7 | | 9x-3(2x-1)=15 | | x/2+8=12 | | -25-(-50)=f | | (5)=5+y | | 6(2x/3)=2(2x) | | -3-(-3)=r | | 8x-(5x+7)=-1 |