If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 2x + 1 = x2 + 4x + 4 Reorder the terms: 1 + 2x + 4x2 = x2 + 4x + 4 Reorder the terms: 1 + 2x + 4x2 = 4 + 4x + x2 Solving 1 + 2x + 4x2 = 4 + 4x + x2 Solving for variable 'x'. Reorder the terms: 1 + -4 + 2x + -4x + 4x2 + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2 Combine like terms: 1 + -4 = -3 -3 + 2x + -4x + 4x2 + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2 Combine like terms: 2x + -4x = -2x -3 + -2x + 4x2 + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2 Combine like terms: 4x2 + -1x2 = 3x2 -3 + -2x + 3x2 = 4 + 4x + x2 + -4 + -4x + -1x2 Reorder the terms: -3 + -2x + 3x2 = 4 + -4 + 4x + -4x + x2 + -1x2 Combine like terms: 4 + -4 = 0 -3 + -2x + 3x2 = 0 + 4x + -4x + x2 + -1x2 -3 + -2x + 3x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 -3 + -2x + 3x2 = 0 + x2 + -1x2 -3 + -2x + 3x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + -2x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -1 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '1' to each side of the equation. -1 + -0.6666666667x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + -0.6666666667x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -0.6666666667x + x2 = 0 + 1 -0.6666666667x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -0.6666666667x + x2 = 1 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = 1 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = 1 + 0.1111111112 Combine like terms: 1 + 0.1111111112 = 1.1111111112 0.1111111112 + -0.6666666667x + x2 = 1.1111111112 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = 1.1111111112 Calculate the square root of the right side: 1.054092553 Break this problem into two subproblems by setting (x + -0.3333333334) equal to 1.054092553 and -1.054092553.Subproblem 1
x + -0.3333333334 = 1.054092553 Simplifying x + -0.3333333334 = 1.054092553 Reorder the terms: -0.3333333334 + x = 1.054092553 Solving -0.3333333334 + x = 1.054092553 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3333333334' to each side of the equation. -0.3333333334 + 0.3333333334 + x = 1.054092553 + 0.3333333334 Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000 0.0000000000 + x = 1.054092553 + 0.3333333334 x = 1.054092553 + 0.3333333334 Combine like terms: 1.054092553 + 0.3333333334 = 1.3874258864 x = 1.3874258864 Simplifying x = 1.3874258864Subproblem 2
x + -0.3333333334 = -1.054092553 Simplifying x + -0.3333333334 = -1.054092553 Reorder the terms: -0.3333333334 + x = -1.054092553 Solving -0.3333333334 + x = -1.054092553 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3333333334' to each side of the equation. -0.3333333334 + 0.3333333334 + x = -1.054092553 + 0.3333333334 Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000 0.0000000000 + x = -1.054092553 + 0.3333333334 x = -1.054092553 + 0.3333333334 Combine like terms: -1.054092553 + 0.3333333334 = -0.7207592196 x = -0.7207592196 Simplifying x = -0.7207592196Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.3874258864, -0.7207592196}
| x^2+2x+1-3x^2+6x-3=6 | | 136x-15*(x+0.5)-83x= | | 5(p+4)=25+(7-p) | | 136x-15*(x+0.5)= | | x^2+4x+4+x^2-3x=1 | | 15*(x+0.5)= | | x^2-6x+9=44-11x | | 4X^2+10X=-X^2-X+4 | | -5-3x=12 | | 3q+4=4q-1 | | 0=3x^2-17x-66 | | 9b+8=1 | | 5-9m=3 | | 53-5x=4x+16 | | 8-12v=0 | | -59j-10x=10x+21 | | -68-10=7x+17 | | 9x-18x+8=0 | | 7X=17/3-17/2 | | 7X=17/2 | | 7X=17/2+17/3 | | 7X/3=17 | | 7X/2=17 | | 3x-2(.005)=1 | | 4(1.25x+-.25)=5x+-1 | | 2/3x=360 | | (2x-3)2+(x+1)(x-1)+x=(3x-1)2+(1-2x)(2x+1)-4 | | 16+8*2= | | 2X+3X=17X-7 | | (1/(x+1))-1/(x-1) | | 7X-X=17 | | 48+8=108-6x |