If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x2 + 21x = -19 Reorder the terms: 21x + 3x2 = -19 Solving 21x + 3x2 = -19 Solving for variable 'x'. Reorder the terms: 19 + 21x + 3x2 = -19 + 19 Combine like terms: -19 + 19 = 0 19 + 21x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 6.333333333 + 7x + x2 = 0 Move the constant term to the right: Add '-6.333333333' to each side of the equation. 6.333333333 + 7x + -6.333333333 + x2 = 0 + -6.333333333 Reorder the terms: 6.333333333 + -6.333333333 + 7x + x2 = 0 + -6.333333333 Combine like terms: 6.333333333 + -6.333333333 = 0.000000000 0.000000000 + 7x + x2 = 0 + -6.333333333 7x + x2 = 0 + -6.333333333 Combine like terms: 0 + -6.333333333 = -6.333333333 7x + x2 = -6.333333333 The x term is 7x. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7x + 12.25 + x2 = -6.333333333 + 12.25 Reorder the terms: 12.25 + 7x + x2 = -6.333333333 + 12.25 Combine like terms: -6.333333333 + 12.25 = 5.916666667 12.25 + 7x + x2 = 5.916666667 Factor a perfect square on the left side: (x + 3.5)(x + 3.5) = 5.916666667 Calculate the square root of the right side: 2.43241992 Break this problem into two subproblems by setting (x + 3.5) equal to 2.43241992 and -2.43241992.Subproblem 1
x + 3.5 = 2.43241992 Simplifying x + 3.5 = 2.43241992 Reorder the terms: 3.5 + x = 2.43241992 Solving 3.5 + x = 2.43241992 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = 2.43241992 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = 2.43241992 + -3.5 x = 2.43241992 + -3.5 Combine like terms: 2.43241992 + -3.5 = -1.06758008 x = -1.06758008 Simplifying x = -1.06758008Subproblem 2
x + 3.5 = -2.43241992 Simplifying x + 3.5 = -2.43241992 Reorder the terms: 3.5 + x = -2.43241992 Solving 3.5 + x = -2.43241992 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = -2.43241992 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = -2.43241992 + -3.5 x = -2.43241992 + -3.5 Combine like terms: -2.43241992 + -3.5 = -5.93241992 x = -5.93241992 Simplifying x = -5.93241992Solution
The solution to the problem is based on the solutions from the subproblems. x = {-1.06758008, -5.93241992}
| 6-6x=-5x-3 | | 5z^2+28z+15= | | 4x+12=-30x+12 | | 4(-9k+2)=2(-1-7k)-3k | | 36x+1/2=36x-58 | | 5k/3+15=150 | | 56v^2-17v-3=0 | | -7x+4=-9+7x | | 10=4(1+6y)-4y | | 3x/5+8=-40 | | 9x+11=x+51 | | 7x+14x^2=0 | | 4e+10=2e+26 | | 5m+8=m+36 | | 9x+5y=7 | | x^2-18=82 | | 7x-42=20+9x | | 7-(x+5)=2(x-1) | | 5x+17x=2x-10 | | -(3-x)=4(3-x) | | -y-(-7+6y)=-4 | | -2y+1y-5=11 | | b^2-14b+40=0 | | 102-3x=4x+18 | | -6+4x=-14 | | 8(1x-3)+2x=9+3x | | 3/8w+3=7/8w-1 | | 36m^2-21m-30= | | (5x+4)(5x+4)-16y^2=0 | | 7(1x-3)=2(x+5) | | 2x(x-1)-x^2=(1+x)x | | 1/3(b+6)1/4b+8 |