If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x + 6 = 4x2 + 20x + 25 Reorder the terms: 6 + x = 4x2 + 20x + 25 Reorder the terms: 6 + x = 25 + 20x + 4x2 Solving 6 + x = 25 + 20x + 4x2 Solving for variable 'x'. Reorder the terms: 6 + -25 + x + -20x + -4x2 = 25 + 20x + 4x2 + -25 + -20x + -4x2 Combine like terms: 6 + -25 = -19 -19 + x + -20x + -4x2 = 25 + 20x + 4x2 + -25 + -20x + -4x2 Combine like terms: x + -20x = -19x -19 + -19x + -4x2 = 25 + 20x + 4x2 + -25 + -20x + -4x2 Reorder the terms: -19 + -19x + -4x2 = 25 + -25 + 20x + -20x + 4x2 + -4x2 Combine like terms: 25 + -25 = 0 -19 + -19x + -4x2 = 0 + 20x + -20x + 4x2 + -4x2 -19 + -19x + -4x2 = 20x + -20x + 4x2 + -4x2 Combine like terms: 20x + -20x = 0 -19 + -19x + -4x2 = 0 + 4x2 + -4x2 -19 + -19x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -19 + -19x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(19 + 19x + 4x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(19 + 19x + 4x2)' equal to zero and attempt to solve: Simplifying 19 + 19x + 4x2 = 0 Solving 19 + 19x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 4.75 + 4.75x + x2 = 0 Move the constant term to the right: Add '-4.75' to each side of the equation. 4.75 + 4.75x + -4.75 + x2 = 0 + -4.75 Reorder the terms: 4.75 + -4.75 + 4.75x + x2 = 0 + -4.75 Combine like terms: 4.75 + -4.75 = 0.00 0.00 + 4.75x + x2 = 0 + -4.75 4.75x + x2 = 0 + -4.75 Combine like terms: 0 + -4.75 = -4.75 4.75x + x2 = -4.75 The x term is 4.75x. Take half its coefficient (2.375). Square it (5.640625) and add it to both sides. Add '5.640625' to each side of the equation. 4.75x + 5.640625 + x2 = -4.75 + 5.640625 Reorder the terms: 5.640625 + 4.75x + x2 = -4.75 + 5.640625 Combine like terms: -4.75 + 5.640625 = 0.890625 5.640625 + 4.75x + x2 = 0.890625 Factor a perfect square on the left side: (x + 2.375)(x + 2.375) = 0.890625 Calculate the square root of the right side: 0.943729304 Break this problem into two subproblems by setting (x + 2.375) equal to 0.943729304 and -0.943729304.Subproblem 1
x + 2.375 = 0.943729304 Simplifying x + 2.375 = 0.943729304 Reorder the terms: 2.375 + x = 0.943729304 Solving 2.375 + x = 0.943729304 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.375' to each side of the equation. 2.375 + -2.375 + x = 0.943729304 + -2.375 Combine like terms: 2.375 + -2.375 = 0.000 0.000 + x = 0.943729304 + -2.375 x = 0.943729304 + -2.375 Combine like terms: 0.943729304 + -2.375 = -1.431270696 x = -1.431270696 Simplifying x = -1.431270696Subproblem 2
x + 2.375 = -0.943729304 Simplifying x + 2.375 = -0.943729304 Reorder the terms: 2.375 + x = -0.943729304 Solving 2.375 + x = -0.943729304 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.375' to each side of the equation. 2.375 + -2.375 + x = -0.943729304 + -2.375 Combine like terms: 2.375 + -2.375 = 0.000 0.000 + x = -0.943729304 + -2.375 x = -0.943729304 + -2.375 Combine like terms: -0.943729304 + -2.375 = -3.318729304 x = -3.318729304 Simplifying x = -3.318729304Solution
The solution to the problem is based on the solutions from the subproblems. x = {-1.431270696, -3.318729304}Solution
x = {-1.431270696, -3.318729304}
| 2x+(x+8)=x | | 5+2(4-x)+3(x-5)=6(x+2)-3(4x-7) | | (1/121-25x^10)=0 | | 196s^2-100=0 | | 6y-(7)=5 | | 4(x-6)=5/14 | | 2x+c=72 | | (7x+4y)dx+(4y-8y^3)dy=0 | | 9x+5(2x+5)=82 | | 5x^2+60x+174=0 | | 55+47+36+25+50+75+63+60= | | 2x^4+16x^2+30=0 | | -9h=-20 | | f/8=-32 | | 15a=6a-99 | | 190=12x+82 | | 6/4y-y=5 | | -46-5x=-111 | | 16=d/7 | | 4/9*x=12 | | c/12=-8 | | -10x+70=190 | | (x^2)-9x+1=0 | | 5h-9=2h+1 | | 64x=9m | | 3b+6=0.5b | | -9x+54=135 | | 2x-4(-4x+19)=14 | | 6m-8n/p-1 | | x-2=-30 | | 2x-18+32=150 | | 2(4c-1)-14=6c+2 |