If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x + -12x2 = 32x + -192 Reorder the terms: 2x + -12x2 = -192 + 32x Solving 2x + -12x2 = -192 + 32x Solving for variable 'x'. Reorder the terms: 192 + 2x + -32x + -12x2 = -192 + 32x + 192 + -32x Combine like terms: 2x + -32x = -30x 192 + -30x + -12x2 = -192 + 32x + 192 + -32x Reorder the terms: 192 + -30x + -12x2 = -192 + 192 + 32x + -32x Combine like terms: -192 + 192 = 0 192 + -30x + -12x2 = 0 + 32x + -32x 192 + -30x + -12x2 = 32x + -32x Combine like terms: 32x + -32x = 0 192 + -30x + -12x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(32 + -5x + -2x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(32 + -5x + -2x2)' equal to zero and attempt to solve: Simplifying 32 + -5x + -2x2 = 0 Solving 32 + -5x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -16 + 2.5x + x2 = 0 Move the constant term to the right: Add '16' to each side of the equation. -16 + 2.5x + 16 + x2 = 0 + 16 Reorder the terms: -16 + 16 + 2.5x + x2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 2.5x + x2 = 0 + 16 2.5x + x2 = 0 + 16 Combine like terms: 0 + 16 = 16 2.5x + x2 = 16 The x term is 2.5x. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x + 1.5625 + x2 = 16 + 1.5625 Reorder the terms: 1.5625 + 2.5x + x2 = 16 + 1.5625 Combine like terms: 16 + 1.5625 = 17.5625 1.5625 + 2.5x + x2 = 17.5625 Factor a perfect square on the left side: (x + 1.25)(x + 1.25) = 17.5625 Calculate the square root of the right side: 4.190763654 Break this problem into two subproblems by setting (x + 1.25) equal to 4.190763654 and -4.190763654.Subproblem 1
x + 1.25 = 4.190763654 Simplifying x + 1.25 = 4.190763654 Reorder the terms: 1.25 + x = 4.190763654 Solving 1.25 + x = 4.190763654 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = 4.190763654 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = 4.190763654 + -1.25 x = 4.190763654 + -1.25 Combine like terms: 4.190763654 + -1.25 = 2.940763654 x = 2.940763654 Simplifying x = 2.940763654Subproblem 2
x + 1.25 = -4.190763654 Simplifying x + 1.25 = -4.190763654 Reorder the terms: 1.25 + x = -4.190763654 Solving 1.25 + x = -4.190763654 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = -4.190763654 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = -4.190763654 + -1.25 x = -4.190763654 + -1.25 Combine like terms: -4.190763654 + -1.25 = -5.440763654 x = -5.440763654 Simplifying x = -5.440763654Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.940763654, -5.440763654}Solution
x = {2.940763654, -5.440763654}
| 6x+5=15+10x | | x^2+14x+48=8 | | 6x+5x+3+8=7x+4+3x | | -13+[x+4(x+1)]= | | 14x^2+7x-21= | | 15x^3-102x^2-21x=0 | | 14x-9=x+30 | | 2(3-x)+8=0 | | -x^2+x+4=7 | | 10x^4+7x^3-12x^2=0 | | 14x+7=13x-2 | | 7(x-1)-9x= | | x^2-6x+14=5 | | a^2-20a-27=-6 | | 9a+(8b-c)= | | -5y+5=-6+3 | | -10x-x^2=0 | | -3x^2-5x-2=-5 | | 4(x-4)+14=2(8-2x)+6 | | 3p+9=16+2p | | 3(2w+7)=3 | | 15=7.3333333+t | | 14[8+5(x-10)]= | | 0.4r-1.2=0.3+0.6 | | 3.8x+5=2.8x | | 14x^2+11x-15=0 | | 8x+3=12+6x | | -12x+x^2=0 | | 6.6x+3=5.6x | | 33*0.44= | | 2(-10+4y)= | | -23=5(x-4) |