If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10(x2 + -21x + 75) = 0 Reorder the terms: 10(75 + -21x + x2) = 0 (75 * 10 + -21x * 10 + x2 * 10) = 0 (750 + -210x + 10x2) = 0 Solving 750 + -210x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(75 + -21x + x2) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(75 + -21x + x2)' equal to zero and attempt to solve: Simplifying 75 + -21x + x2 = 0 Solving 75 + -21x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-75' to each side of the equation. 75 + -21x + -75 + x2 = 0 + -75 Reorder the terms: 75 + -75 + -21x + x2 = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -21x + x2 = 0 + -75 -21x + x2 = 0 + -75 Combine like terms: 0 + -75 = -75 -21x + x2 = -75 The x term is -21x. Take half its coefficient (-10.5). Square it (110.25) and add it to both sides. Add '110.25' to each side of the equation. -21x + 110.25 + x2 = -75 + 110.25 Reorder the terms: 110.25 + -21x + x2 = -75 + 110.25 Combine like terms: -75 + 110.25 = 35.25 110.25 + -21x + x2 = 35.25 Factor a perfect square on the left side: (x + -10.5)(x + -10.5) = 35.25 Calculate the square root of the right side: 5.937171044 Break this problem into two subproblems by setting (x + -10.5) equal to 5.937171044 and -5.937171044.Subproblem 1
x + -10.5 = 5.937171044 Simplifying x + -10.5 = 5.937171044 Reorder the terms: -10.5 + x = 5.937171044 Solving -10.5 + x = 5.937171044 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.5' to each side of the equation. -10.5 + 10.5 + x = 5.937171044 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + x = 5.937171044 + 10.5 x = 5.937171044 + 10.5 Combine like terms: 5.937171044 + 10.5 = 16.437171044 x = 16.437171044 Simplifying x = 16.437171044Subproblem 2
x + -10.5 = -5.937171044 Simplifying x + -10.5 = -5.937171044 Reorder the terms: -10.5 + x = -5.937171044 Solving -10.5 + x = -5.937171044 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.5' to each side of the equation. -10.5 + 10.5 + x = -5.937171044 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + x = -5.937171044 + 10.5 x = -5.937171044 + 10.5 Combine like terms: -5.937171044 + 10.5 = 4.562828956 x = 4.562828956 Simplifying x = 4.562828956Solution
The solution to the problem is based on the solutions from the subproblems. x = {16.437171044, 4.562828956}Solution
x = {16.437171044, 4.562828956}
| 5x+2(5x-2)=176 | | 3(2x-2)=4(x+4) | | 8x+10-2x+36=4x+15+8x-28 | | n+1=13-2n+n | | 10y-4-8=20 | | 3(3.99)+1b-0.11=5b | | (2x-3)(2x+3)=55 | | x^2-21x+75=0 | | 5y-4=8+y | | 3x-2=7x+6 | | -4+4/5x=6 | | -5=9+c-4 | | 5x-3+4x-24=3x+2+4x-9 | | -2(6+4b)=-6b | | 10y-4g-8=20 | | r/10+1.1=0.3 | | 2n+3.5=6.7 | | W^2+7=w^3+9 | | (A^-3b6-4/a^7b^3)(a^3b^4/a^-3b^-3)^2 | | 5x-3(x-5)=15 | | 2p-2=14+6p | | 6(r+7)=35+5r | | 3x=56+7(9)y | | 4t+8t=60 | | 9m+108=9m*5 | | 3k-5=2(k+1) | | 1/2(8x-5/11)-10/11(5x+3/8)=1/4(2x+5) | | X/3-8=-15 | | d/-4+3f=14 | | 5t+8t=60 | | 12=-4-11 | | -66=4+10x |