If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -21(x + x2) = 8(x2 + -3) + 3x (x * -21 + x2 * -21) = 8(x2 + -3) + 3x (-21x + -21x2) = 8(x2 + -3) + 3x Reorder the terms: -21x + -21x2 = 8(-3 + x2) + 3x -21x + -21x2 = (-3 * 8 + x2 * 8) + 3x -21x + -21x2 = (-24 + 8x2) + 3x Reorder the terms: -21x + -21x2 = -24 + 3x + 8x2 Solving -21x + -21x2 = -24 + 3x + 8x2 Solving for variable 'x'. Reorder the terms: 24 + -21x + -3x + -21x2 + -8x2 = -24 + 3x + 8x2 + 24 + -3x + -8x2 Combine like terms: -21x + -3x = -24x 24 + -24x + -21x2 + -8x2 = -24 + 3x + 8x2 + 24 + -3x + -8x2 Combine like terms: -21x2 + -8x2 = -29x2 24 + -24x + -29x2 = -24 + 3x + 8x2 + 24 + -3x + -8x2 Reorder the terms: 24 + -24x + -29x2 = -24 + 24 + 3x + -3x + 8x2 + -8x2 Combine like terms: -24 + 24 = 0 24 + -24x + -29x2 = 0 + 3x + -3x + 8x2 + -8x2 24 + -24x + -29x2 = 3x + -3x + 8x2 + -8x2 Combine like terms: 3x + -3x = 0 24 + -24x + -29x2 = 0 + 8x2 + -8x2 24 + -24x + -29x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 24 + -24x + -29x2 = 0 Begin completing the square. Divide all terms by -29 the coefficient of the squared term: Divide each side by '-29'. -0.8275862069 + 0.8275862069x + x2 = 0 Move the constant term to the right: Add '0.8275862069' to each side of the equation. -0.8275862069 + 0.8275862069x + 0.8275862069 + x2 = 0 + 0.8275862069 Reorder the terms: -0.8275862069 + 0.8275862069 + 0.8275862069x + x2 = 0 + 0.8275862069 Combine like terms: -0.8275862069 + 0.8275862069 = 0.0000000000 0.0000000000 + 0.8275862069x + x2 = 0 + 0.8275862069 0.8275862069x + x2 = 0 + 0.8275862069 Combine like terms: 0 + 0.8275862069 = 0.8275862069 0.8275862069x + x2 = 0.8275862069 The x term is 0.8275862069x. Take half its coefficient (0.4137931035). Square it (0.1712247325) and add it to both sides. Add '0.1712247325' to each side of the equation. 0.8275862069x + 0.1712247325 + x2 = 0.8275862069 + 0.1712247325 Reorder the terms: 0.1712247325 + 0.8275862069x + x2 = 0.8275862069 + 0.1712247325 Combine like terms: 0.8275862069 + 0.1712247325 = 0.9988109394 0.1712247325 + 0.8275862069x + x2 = 0.9988109394 Factor a perfect square on the left side: (x + 0.4137931035)(x + 0.4137931035) = 0.9988109394 Calculate the square root of the right side: 0.999405293 Break this problem into two subproblems by setting (x + 0.4137931035) equal to 0.999405293 and -0.999405293.Subproblem 1
x + 0.4137931035 = 0.999405293 Simplifying x + 0.4137931035 = 0.999405293 Reorder the terms: 0.4137931035 + x = 0.999405293 Solving 0.4137931035 + x = 0.999405293 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4137931035' to each side of the equation. 0.4137931035 + -0.4137931035 + x = 0.999405293 + -0.4137931035 Combine like terms: 0.4137931035 + -0.4137931035 = 0.0000000000 0.0000000000 + x = 0.999405293 + -0.4137931035 x = 0.999405293 + -0.4137931035 Combine like terms: 0.999405293 + -0.4137931035 = 0.5856121895 x = 0.5856121895 Simplifying x = 0.5856121895Subproblem 2
x + 0.4137931035 = -0.999405293 Simplifying x + 0.4137931035 = -0.999405293 Reorder the terms: 0.4137931035 + x = -0.999405293 Solving 0.4137931035 + x = -0.999405293 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4137931035' to each side of the equation. 0.4137931035 + -0.4137931035 + x = -0.999405293 + -0.4137931035 Combine like terms: 0.4137931035 + -0.4137931035 = 0.0000000000 0.0000000000 + x = -0.999405293 + -0.4137931035 x = -0.999405293 + -0.4137931035 Combine like terms: -0.999405293 + -0.4137931035 = -1.4131983965 x = -1.4131983965 Simplifying x = -1.4131983965Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.5856121895, -1.4131983965}
| -6/11*z=-1/3 | | 8y^2-22y+9=0 | | 7+3u=-2 | | 43(x+2x^2)=-7(4x-3x^2) | | -.008x^2+.103x-.195=0 | | 20x^2+27x-14=0 | | 2-(3x-6)=0 | | (Y+4/4)+(y-2/2)=3 | | 4(w+4)-7w= | | 5v-4(v+4)=0 | | (5/6)(-12/-7)(14/15) | | (-2a/a+12)=(4/a-13) | | x^2+21x=-21 | | (z/3)+(1/7) | | b+2/3-b-2/7=2 | | x/3+x/4=1 | | a^2-1/a+1-a^2-2a+1/a+1 | | 4x+2/2 | | 2(x-12)+8=4(x-1) | | 4x^2+47x+136=0 | | x-(6x+10)=4 | | H=2(t-17)+3t | | 2x-17=63 | | (4w+1)(4-w)=0 | | 2x+1+3x=21 | | 3+-3+x+-1y= | | 2x+22-5=39 | | 26*2+5x*4=152 | | 2x^2-54x=0 | | 4x-3y=50 | | H=M-(20/100)M | | (-9/6x-2)(36x^2-4/7x) |