If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (x + 10)(3x + 10) = 64 Reorder the terms: (10 + x)(3x + 10) = 64 Reorder the terms: (10 + x)(10 + 3x) = 64 Multiply (10 + x) * (10 + 3x) (10(10 + 3x) + x(10 + 3x)) = 64 ((10 * 10 + 3x * 10) + x(10 + 3x)) = 64 ((100 + 30x) + x(10 + 3x)) = 64 (100 + 30x + (10 * x + 3x * x)) = 64 (100 + 30x + (10x + 3x2)) = 64 Combine like terms: 30x + 10x = 40x (100 + 40x + 3x2) = 64 Solving 100 + 40x + 3x2 = 64 Solving for variable 'x'. Reorder the terms: 100 + -64 + 40x + 3x2 = 64 + -64 Combine like terms: 100 + -64 = 36 36 + 40x + 3x2 = 64 + -64 Combine like terms: 64 + -64 = 0 36 + 40x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 12 + 13.33333333x + x2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + 13.33333333x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + 13.33333333x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 13.33333333x + x2 = 0 + -12 13.33333333x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 13.33333333x + x2 = -12 The x term is 13.33333333x. Take half its coefficient (6.666666665). Square it (44.44444442) and add it to both sides. Add '44.44444442' to each side of the equation. 13.33333333x + 44.44444442 + x2 = -12 + 44.44444442 Reorder the terms: 44.44444442 + 13.33333333x + x2 = -12 + 44.44444442 Combine like terms: -12 + 44.44444442 = 32.44444442 44.44444442 + 13.33333333x + x2 = 32.44444442 Factor a perfect square on the left side: (x + 6.666666665)(x + 6.666666665) = 32.44444442 Calculate the square root of the right side: 5.696002495 Break this problem into two subproblems by setting (x + 6.666666665) equal to 5.696002495 and -5.696002495.Subproblem 1
x + 6.666666665 = 5.696002495 Simplifying x + 6.666666665 = 5.696002495 Reorder the terms: 6.666666665 + x = 5.696002495 Solving 6.666666665 + x = 5.696002495 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.666666665' to each side of the equation. 6.666666665 + -6.666666665 + x = 5.696002495 + -6.666666665 Combine like terms: 6.666666665 + -6.666666665 = 0.000000000 0.000000000 + x = 5.696002495 + -6.666666665 x = 5.696002495 + -6.666666665 Combine like terms: 5.696002495 + -6.666666665 = -0.97066417 x = -0.97066417 Simplifying x = -0.97066417Subproblem 2
x + 6.666666665 = -5.696002495 Simplifying x + 6.666666665 = -5.696002495 Reorder the terms: 6.666666665 + x = -5.696002495 Solving 6.666666665 + x = -5.696002495 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.666666665' to each side of the equation. 6.666666665 + -6.666666665 + x = -5.696002495 + -6.666666665 Combine like terms: 6.666666665 + -6.666666665 = 0.000000000 0.000000000 + x = -5.696002495 + -6.666666665 x = -5.696002495 + -6.666666665 Combine like terms: -5.696002495 + -6.666666665 = -12.36266916 x = -12.36266916 Simplifying x = -12.36266916Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.97066417, -12.36266916}
| 2x^2+30x=204 | | 17/3-z=5/2 | | p^2-43p+120=0 | | 2f+4=19 | | Y=x-sin(x) | | 6a+7a+a= | | x^2+x=204 | | x^2+x=274 | | 3e-4=24 | | 3D+18=24 | | x^2+y^2-8x+14y+144=0 | | x^2+2x-1=9 | | 5x-1+100=5x | | 2x-2x=30 | | 5r-10=25 | | 40L+2w=120 | | -3(2y-5)+2y=5y-4 | | 63+x+57=180 | | 3w+12=30 | | x^2-6x=-10x+126-x^2 | | 15x^2-12x= | | -2(-6-3x)=-6 | | x^2-2x-8y-15=0 | | 3a+5=a+4 | | 6(3-5x)=-72 | | r+29=-11 | | 15+(2x-5)=7x | | 2eX-5=0 | | 3m+6n-3m+11n= | | 4y-6=1-3y | | 6v+48=6v-30-v+6 | | 21-6x=12-7x |