If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 50x + 3x(4x + 6) = 54 Reorder the terms: 50x + 3x(6 + 4x) = 54 50x + (6 * 3x + 4x * 3x) = 54 50x + (18x + 12x2) = 54 Combine like terms: 50x + 18x = 68x 68x + 12x2 = 54 Solving 68x + 12x2 = 54 Solving for variable 'x'. Reorder the terms: -54 + 68x + 12x2 = 54 + -54 Combine like terms: 54 + -54 = 0 -54 + 68x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-27 + 34x + 6x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-27 + 34x + 6x2)' equal to zero and attempt to solve: Simplifying -27 + 34x + 6x2 = 0 Solving -27 + 34x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -4.5 + 5.666666667x + x2 = 0 Move the constant term to the right: Add '4.5' to each side of the equation. -4.5 + 5.666666667x + 4.5 + x2 = 0 + 4.5 Reorder the terms: -4.5 + 4.5 + 5.666666667x + x2 = 0 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 5.666666667x + x2 = 0 + 4.5 5.666666667x + x2 = 0 + 4.5 Combine like terms: 0 + 4.5 = 4.5 5.666666667x + x2 = 4.5 The x term is 5.666666667x. Take half its coefficient (2.833333334). Square it (8.027777782) and add it to both sides. Add '8.027777782' to each side of the equation. 5.666666667x + 8.027777782 + x2 = 4.5 + 8.027777782 Reorder the terms: 8.027777782 + 5.666666667x + x2 = 4.5 + 8.027777782 Combine like terms: 4.5 + 8.027777782 = 12.527777782 8.027777782 + 5.666666667x + x2 = 12.527777782 Factor a perfect square on the left side: (x + 2.833333334)(x + 2.833333334) = 12.527777782 Calculate the square root of the right side: 3.539460098 Break this problem into two subproblems by setting (x + 2.833333334) equal to 3.539460098 and -3.539460098.Subproblem 1
x + 2.833333334 = 3.539460098 Simplifying x + 2.833333334 = 3.539460098 Reorder the terms: 2.833333334 + x = 3.539460098 Solving 2.833333334 + x = 3.539460098 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.833333334' to each side of the equation. 2.833333334 + -2.833333334 + x = 3.539460098 + -2.833333334 Combine like terms: 2.833333334 + -2.833333334 = 0.000000000 0.000000000 + x = 3.539460098 + -2.833333334 x = 3.539460098 + -2.833333334 Combine like terms: 3.539460098 + -2.833333334 = 0.706126764 x = 0.706126764 Simplifying x = 0.706126764Subproblem 2
x + 2.833333334 = -3.539460098 Simplifying x + 2.833333334 = -3.539460098 Reorder the terms: 2.833333334 + x = -3.539460098 Solving 2.833333334 + x = -3.539460098 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.833333334' to each side of the equation. 2.833333334 + -2.833333334 + x = -3.539460098 + -2.833333334 Combine like terms: 2.833333334 + -2.833333334 = 0.000000000 0.000000000 + x = -3.539460098 + -2.833333334 x = -3.539460098 + -2.833333334 Combine like terms: -3.539460098 + -2.833333334 = -6.372793432 x = -6.372793432 Simplifying x = -6.372793432Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.706126764, -6.372793432}Solution
x = {0.706126764, -6.372793432}
| 40+90=x | | 7-x=4x-5 | | 7m^2+27+18=0 | | x^2+(-3)=0 | | -10=b-4-8 | | 7n^2+14n-49=0 | | 2+2(x-4)=3-4(x-9) | | 7-2n=39 | | 5x^2-1+3=6 | | 2(8-6x)=16 | | -27=3(u-4)+2u | | 3a-5=5a-7 | | 1+12x=13x-4 | | 1+4n-3n=1 | | 3a-5=5w-7 | | 3X^2-40X+77=0 | | .47x-.63x-x=6.96 | | -3(-c+-6)=-3c-6 | | -5+2+2x+4=-3x+8 | | -4+12x=13x+9 | | 3y^2+1y+30=0 | | 7=7(y+3)-5y | | 4-9x=x+12 | | -6m^3+10m^2+4m=0 | | 0=-16t^2+128t-198 | | p-4-8p=17 | | (2x+3y)dy=(2x-2y)dx | | x+1.25x=100 | | x^3+8+13=14 | | (1-x)y-2xy+12y=0 | | 15=-5+4x | | 5x+5+140=180 |