If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 5x + -3 = -4x2 + 2x + 7 Reorder the terms: -3 + 5x + 2x2 = -4x2 + 2x + 7 Reorder the terms: -3 + 5x + 2x2 = 7 + 2x + -4x2 Solving -3 + 5x + 2x2 = 7 + 2x + -4x2 Solving for variable 'x'. Reorder the terms: -3 + -7 + 5x + -2x + 2x2 + 4x2 = 7 + 2x + -4x2 + -7 + -2x + 4x2 Combine like terms: -3 + -7 = -10 -10 + 5x + -2x + 2x2 + 4x2 = 7 + 2x + -4x2 + -7 + -2x + 4x2 Combine like terms: 5x + -2x = 3x -10 + 3x + 2x2 + 4x2 = 7 + 2x + -4x2 + -7 + -2x + 4x2 Combine like terms: 2x2 + 4x2 = 6x2 -10 + 3x + 6x2 = 7 + 2x + -4x2 + -7 + -2x + 4x2 Reorder the terms: -10 + 3x + 6x2 = 7 + -7 + 2x + -2x + -4x2 + 4x2 Combine like terms: 7 + -7 = 0 -10 + 3x + 6x2 = 0 + 2x + -2x + -4x2 + 4x2 -10 + 3x + 6x2 = 2x + -2x + -4x2 + 4x2 Combine like terms: 2x + -2x = 0 -10 + 3x + 6x2 = 0 + -4x2 + 4x2 -10 + 3x + 6x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -10 + 3x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -1.666666667 + 0.5x + x2 = 0 Move the constant term to the right: Add '1.666666667' to each side of the equation. -1.666666667 + 0.5x + 1.666666667 + x2 = 0 + 1.666666667 Reorder the terms: -1.666666667 + 1.666666667 + 0.5x + x2 = 0 + 1.666666667 Combine like terms: -1.666666667 + 1.666666667 = 0.000000000 0.000000000 + 0.5x + x2 = 0 + 1.666666667 0.5x + x2 = 0 + 1.666666667 Combine like terms: 0 + 1.666666667 = 1.666666667 0.5x + x2 = 1.666666667 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 = 1.666666667 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = 1.666666667 + 0.0625 Combine like terms: 1.666666667 + 0.0625 = 1.729166667 0.0625 + 0.5x + x2 = 1.729166667 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = 1.729166667 Calculate the square root of the right side: 1.31497782 Break this problem into two subproblems by setting (x + 0.25) equal to 1.31497782 and -1.31497782.Subproblem 1
x + 0.25 = 1.31497782 Simplifying x + 0.25 = 1.31497782 Reorder the terms: 0.25 + x = 1.31497782 Solving 0.25 + x = 1.31497782 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 = 1.31497782 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + x = 1.31497782 + -0.25 x = 1.31497782 + -0.25 Combine like terms: 1.31497782 + -0.25 = 1.06497782 x = 1.06497782 Simplifying x = 1.06497782Subproblem 2
x + 0.25 = -1.31497782 Simplifying x + 0.25 = -1.31497782 Reorder the terms: 0.25 + x = -1.31497782 Solving 0.25 + x = -1.31497782 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 = -1.31497782 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + x = -1.31497782 + -0.25 x = -1.31497782 + -0.25 Combine like terms: -1.31497782 + -0.25 = -1.56497782 x = -1.56497782 Simplifying x = -1.56497782Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.06497782, -1.56497782}
| 7x-9=-2x-45 | | x/520=13/5 | | 4(2.5x-2)=2(5x-5) | | (2/3)x=22 | | x/13=5/520 | | 6(8-3x)=120 | | x=54.3*52-12+7 | | x+x-16=189 | | 13-x=8-x | | x/5=13/520 | | 2u+14=42 | | 6(2x-1)=3(x+4) | | 6(x-5)+7=2(x+4)-10 | | 16x-3x= | | 7a-4+3a-6= | | 19b=304 | | x^2+10x-3=7x | | 7s=64 | | 8x-9x+3x-6x= | | 9k+3=3(3k+1) | | -10k=-20 | | 9a/10•5/12a | | 8x-3+6x-5=180 | | x^2+64=29 | | h=-16t^2+112t+92 | | (4x-6)+(3x+88)=124 | | 3(9s+2)-12s=3(5s+1)-6 | | 12z-5z=85 | | log(4/3) | | 2/3=b-5/6 | | 44-9+9c=134 | | 13+(b-9)=15 |