If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x(12 + 8x) + -1(6 + -9x) = 45 (12 * 3x + 8x * 3x) + -1(6 + -9x) = 45 (36x + 24x2) + -1(6 + -9x) = 45 36x + 24x2 + (6 * -1 + -9x * -1) = 45 36x + 24x2 + (-6 + 9x) = 45 Reorder the terms: -6 + 36x + 9x + 24x2 = 45 Combine like terms: 36x + 9x = 45x -6 + 45x + 24x2 = 45 Solving -6 + 45x + 24x2 = 45 Solving for variable 'x'. Reorder the terms: -6 + -45 + 45x + 24x2 = 45 + -45 Combine like terms: -6 + -45 = -51 -51 + 45x + 24x2 = 45 + -45 Combine like terms: 45 + -45 = 0 -51 + 45x + 24x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-17 + 15x + 8x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-17 + 15x + 8x2)' equal to zero and attempt to solve: Simplifying -17 + 15x + 8x2 = 0 Solving -17 + 15x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -2.125 + 1.875x + x2 = 0 Move the constant term to the right: Add '2.125' to each side of the equation. -2.125 + 1.875x + 2.125 + x2 = 0 + 2.125 Reorder the terms: -2.125 + 2.125 + 1.875x + x2 = 0 + 2.125 Combine like terms: -2.125 + 2.125 = 0.000 0.000 + 1.875x + x2 = 0 + 2.125 1.875x + x2 = 0 + 2.125 Combine like terms: 0 + 2.125 = 2.125 1.875x + x2 = 2.125 The x term is 1.875x. Take half its coefficient (0.9375). Square it (0.87890625) and add it to both sides. Add '0.87890625' to each side of the equation. 1.875x + 0.87890625 + x2 = 2.125 + 0.87890625 Reorder the terms: 0.87890625 + 1.875x + x2 = 2.125 + 0.87890625 Combine like terms: 2.125 + 0.87890625 = 3.00390625 0.87890625 + 1.875x + x2 = 3.00390625 Factor a perfect square on the left side: (x + 0.9375)(x + 0.9375) = 3.00390625 Calculate the square root of the right side: 1.733178078 Break this problem into two subproblems by setting (x + 0.9375) equal to 1.733178078 and -1.733178078.Subproblem 1
x + 0.9375 = 1.733178078 Simplifying x + 0.9375 = 1.733178078 Reorder the terms: 0.9375 + x = 1.733178078 Solving 0.9375 + x = 1.733178078 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9375' to each side of the equation. 0.9375 + -0.9375 + x = 1.733178078 + -0.9375 Combine like terms: 0.9375 + -0.9375 = 0.0000 0.0000 + x = 1.733178078 + -0.9375 x = 1.733178078 + -0.9375 Combine like terms: 1.733178078 + -0.9375 = 0.795678078 x = 0.795678078 Simplifying x = 0.795678078Subproblem 2
x + 0.9375 = -1.733178078 Simplifying x + 0.9375 = -1.733178078 Reorder the terms: 0.9375 + x = -1.733178078 Solving 0.9375 + x = -1.733178078 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9375' to each side of the equation. 0.9375 + -0.9375 + x = -1.733178078 + -0.9375 Combine like terms: 0.9375 + -0.9375 = 0.0000 0.0000 + x = -1.733178078 + -0.9375 x = -1.733178078 + -0.9375 Combine like terms: -1.733178078 + -0.9375 = -2.670678078 x = -2.670678078 Simplifying x = -2.670678078Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.795678078, -2.670678078}Solution
x = {0.795678078, -2.670678078}
| 7x+20+3x=180 | | 7+3x+-6=3x+5-4 | | 7(x-2)+14=0 | | 6z-5z(z+2)=4(z-5)-3z | | -5p+39=2p+3(1-7p) | | 0.2d+2p=70 | | -3(8-2x)=-32+5x | | 36=X+7+6x | | 7+1x=0.5(4x-2) | | 1x+6=-2 | | -16t^2+8t-1=0 | | -3x+6=2(4x-6)-7(-3+2x) | | 9xsquared=49 | | x-Racinex*2+1=4 | | -6x^2-7x-1=0 | | f(-x)=4x-7 | | x^2-19x+2=0 | | 3x^4+4x-3=0 | | 6p^2+10=19p | | 19-(2m+7)=4+2m-12 | | 8b^2-10b=2b | | 24+3v=-7(6v+3) | | (x-1)(x-2)-3(x-1)=0 | | f(x+1)=4x-7 | | x(5x+2)=2x^2-2x+15 | | 3x^4+14x-3=0 | | X=-2(-3) | | 3(2-y)+4y=7 | | 4x+4-9x=3+2x | | 3x+5=5x-21 | | 2(x^2)=2704-110x+4(x^2)-110x | | 7w-9=4w+12 |