If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 300 = (30 + -2x)(20 + -2x) Multiply (30 + -2x) * (20 + -2x) 300 = (30(20 + -2x) + -2x * (20 + -2x)) 300 = ((20 * 30 + -2x * 30) + -2x * (20 + -2x)) 300 = ((600 + -60x) + -2x * (20 + -2x)) 300 = (600 + -60x + (20 * -2x + -2x * -2x)) 300 = (600 + -60x + (-40x + 4x2)) Combine like terms: -60x + -40x = -100x 300 = (600 + -100x + 4x2) Solving 300 = 600 + -100x + 4x2 Solving for variable 'x'. Combine like terms: 300 + -600 = -300 -300 + 100x + -4x2 = 600 + -100x + 4x2 + -600 + 100x + -4x2 Reorder the terms: -300 + 100x + -4x2 = 600 + -600 + -100x + 100x + 4x2 + -4x2 Combine like terms: 600 + -600 = 0 -300 + 100x + -4x2 = 0 + -100x + 100x + 4x2 + -4x2 -300 + 100x + -4x2 = -100x + 100x + 4x2 + -4x2 Combine like terms: -100x + 100x = 0 -300 + 100x + -4x2 = 0 + 4x2 + -4x2 -300 + 100x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -300 + 100x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-75 + 25x + -1x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-75 + 25x + -1x2)' equal to zero and attempt to solve: Simplifying -75 + 25x + -1x2 = 0 Solving -75 + 25x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 75 + -25x + x2 = 0 Move the constant term to the right: Add '-75' to each side of the equation. 75 + -25x + -75 + x2 = 0 + -75 Reorder the terms: 75 + -75 + -25x + x2 = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -25x + x2 = 0 + -75 -25x + x2 = 0 + -75 Combine like terms: 0 + -75 = -75 -25x + x2 = -75 The x term is -25x. Take half its coefficient (-12.5). Square it (156.25) and add it to both sides. Add '156.25' to each side of the equation. -25x + 156.25 + x2 = -75 + 156.25 Reorder the terms: 156.25 + -25x + x2 = -75 + 156.25 Combine like terms: -75 + 156.25 = 81.25 156.25 + -25x + x2 = 81.25 Factor a perfect square on the left side: (x + -12.5)(x + -12.5) = 81.25 Calculate the square root of the right side: 9.013878189 Break this problem into two subproblems by setting (x + -12.5) equal to 9.013878189 and -9.013878189.Subproblem 1
x + -12.5 = 9.013878189 Simplifying x + -12.5 = 9.013878189 Reorder the terms: -12.5 + x = 9.013878189 Solving -12.5 + x = 9.013878189 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.5' to each side of the equation. -12.5 + 12.5 + x = 9.013878189 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + x = 9.013878189 + 12.5 x = 9.013878189 + 12.5 Combine like terms: 9.013878189 + 12.5 = 21.513878189 x = 21.513878189 Simplifying x = 21.513878189Subproblem 2
x + -12.5 = -9.013878189 Simplifying x + -12.5 = -9.013878189 Reorder the terms: -12.5 + x = -9.013878189 Solving -12.5 + x = -9.013878189 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.5' to each side of the equation. -12.5 + 12.5 + x = -9.013878189 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + x = -9.013878189 + 12.5 x = -9.013878189 + 12.5 Combine like terms: -9.013878189 + 12.5 = 3.486121811 x = 3.486121811 Simplifying x = 3.486121811Solution
The solution to the problem is based on the solutions from the subproblems. x = {21.513878189, 3.486121811}Solution
x = {21.513878189, 3.486121811}
| 8x-(5x+8)=18 | | 3000=(30-2x)(20-2x) | | 3(5x-1)=15x-3 | | 25m^4-16n^2= | | -[5z-(15z+7)]=7+(9z+6) | | 15.625=b^7 | | 0.3x+3.2=0.9x-2.2 | | 3(y+4)=-3(6y-7)+3y | | 0=(30-2x)(20-2x) | | 10x-2=40x+4 | | 4x^2-100x+300=0 | | x^2-100x+300=0 | | -24x^3+22x^2+10x= | | 5(x+5)=9x-6 | | 2x^2-39=90 | | 3.5x=7y | | 2y^2=3y+1 | | (5b+3p)(5b-3p)= | | (2-8i)-4=x-(7+yi) | | -6x+8x-8=2(x-2)-6 | | 5x^4y^3-25x^3y^4-10x^3y^3= | | 2x-(3+x)=12 | | -4(3t-5)+8t=4t-9 | | 0.40x+0.10(50)=0.20(69) | | 4x+2=-7+2x+21 | | 8x-12=3x+7 | | -36x^2-20x+28= | | -2x+6=-2(2x+4) | | abs(8x-12)=abs(3x+7) | | 6+7z-4z-5= | | -16p^2+8p+3= | | 2(2+-1)=4-2t |