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 = 9x2 + -3x + -3x + 1 + -1x2 Reorder the terms: 3x + 2x2 = 9x2 + -3x + -3x + 1 + -1x2 Reorder the terms: 3x + 2x2 = 1 + -3x + -3x + 9x2 + -1x2 Combine like terms: -3x + -3x = -6x 3x + 2x2 = 1 + -6x + 9x2 + -1x2 Combine like terms: 9x2 + -1x2 = 8x2 3x + 2x2 = 1 + -6x + 8x2 Solving 3x + 2x2 = 1 + -6x + 8x2 Solving for variable 'x'. Reorder the terms: -1 + 3x + 6x + 2x2 + -8x2 = 1 + -6x + 8x2 + -1 + 6x + -8x2 Combine like terms: 3x + 6x = 9x -1 + 9x + 2x2 + -8x2 = 1 + -6x + 8x2 + -1 + 6x + -8x2 Combine like terms: 2x2 + -8x2 = -6x2 -1 + 9x + -6x2 = 1 + -6x + 8x2 + -1 + 6x + -8x2 Reorder the terms: -1 + 9x + -6x2 = 1 + -1 + -6x + 6x + 8x2 + -8x2 Combine like terms: 1 + -1 = 0 -1 + 9x + -6x2 = 0 + -6x + 6x + 8x2 + -8x2 -1 + 9x + -6x2 = -6x + 6x + 8x2 + -8x2 Combine like terms: -6x + 6x = 0 -1 + 9x + -6x2 = 0 + 8x2 + -8x2 -1 + 9x + -6x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -1 + 9x + -6x2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 0.1666666667 + -1.5x + x2 = 0 Move the constant term to the right: Add '-0.1666666667' to each side of the equation. 0.1666666667 + -1.5x + -0.1666666667 + x2 = 0 + -0.1666666667 Reorder the terms: 0.1666666667 + -0.1666666667 + -1.5x + x2 = 0 + -0.1666666667 Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000 0.0000000000 + -1.5x + x2 = 0 + -0.1666666667 -1.5x + x2 = 0 + -0.1666666667 Combine like terms: 0 + -0.1666666667 = -0.1666666667 -1.5x + x2 = -0.1666666667 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 = -0.1666666667 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -0.1666666667 + 0.5625 Combine like terms: -0.1666666667 + 0.5625 = 0.3958333333 0.5625 + -1.5x + x2 = 0.3958333333 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = 0.3958333333 Calculate the square root of the right side: 0.62915287 Break this problem into two subproblems by setting (x + -0.75) equal to 0.62915287 and -0.62915287.Subproblem 1
x + -0.75 = 0.62915287 Simplifying x + -0.75 = 0.62915287 Reorder the terms: -0.75 + x = 0.62915287 Solving -0.75 + x = 0.62915287 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 = 0.62915287 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = 0.62915287 + 0.75 x = 0.62915287 + 0.75 Combine like terms: 0.62915287 + 0.75 = 1.37915287 x = 1.37915287 Simplifying x = 1.37915287Subproblem 2
x + -0.75 = -0.62915287 Simplifying x + -0.75 = -0.62915287 Reorder the terms: -0.75 + x = -0.62915287 Solving -0.75 + x = -0.62915287 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 = -0.62915287 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = -0.62915287 + 0.75 x = -0.62915287 + 0.75 Combine like terms: -0.62915287 + 0.75 = 0.12084713 x = 0.12084713 Simplifying x = 0.12084713Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.37915287, 0.12084713}
| v^2-19v+18= | | 0=3900x+217-23.49x^2 | | 7x+6x+4+9=3x+5+9x | | 18x^2-42x=0 | | 4r^2+28r+49= | | (4x-7)=-4 | | 4x+31=91 | | T=3.1-29x | | T=31-29x | | p=2m+2v | | 25a^2-16f^2=0 | | 25r^2+80rd+64d^2=0 | | (2x-1)=7 | | f(-12)=-5x+15 | | 8x+2=5x-8 | | 25r^2-60r+36=0 | | 4z+55z-4=14 | | -6x^2-15x=0 | | 4ln(7x)=8 | | (x+2)(x)(2)=126 | | 15n^2-22np-5p^2=0 | | 10a^3+44a^2-30a=0 | | 5x^2-10x-126=0 | | x-23=31+6x | | 4t^2-24t+32=0 | | (x+2)(x^2)=21 | | 11-1+5x=65x-36 | | 8x-6y=-15 | | 8x-7y=-15 | | 8x^2-30x=27 | | 3(x-3)+11=2(x+5) | | 96=x(x+4) |