If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 4x2 + 30x + -20 Reorder the terms: 0 = -20 + 30x + 4x2 Solving 0 = -20 + 30x + 4x2 Solving for variable 'x'. Combine like terms: 0 + 20 = 20 20 + -30x + -4x2 = -20 + 30x + 4x2 + 20 + -30x + -4x2 Reorder the terms: 20 + -30x + -4x2 = -20 + 20 + 30x + -30x + 4x2 + -4x2 Combine like terms: -20 + 20 = 0 20 + -30x + -4x2 = 0 + 30x + -30x + 4x2 + -4x2 20 + -30x + -4x2 = 30x + -30x + 4x2 + -4x2 Combine like terms: 30x + -30x = 0 20 + -30x + -4x2 = 0 + 4x2 + -4x2 20 + -30x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 20 + -30x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(10 + -15x + -2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + -15x + -2x2)' equal to zero and attempt to solve: Simplifying 10 + -15x + -2x2 = 0 Solving 10 + -15x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -5 + 7.5x + x2 = 0 Move the constant term to the right: Add '5' to each side of the equation. -5 + 7.5x + 5 + x2 = 0 + 5 Reorder the terms: -5 + 5 + 7.5x + x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7.5x + x2 = 0 + 5 7.5x + x2 = 0 + 5 Combine like terms: 0 + 5 = 5 7.5x + x2 = 5 The x term is 7.5x. Take half its coefficient (3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. 7.5x + 14.0625 + x2 = 5 + 14.0625 Reorder the terms: 14.0625 + 7.5x + x2 = 5 + 14.0625 Combine like terms: 5 + 14.0625 = 19.0625 14.0625 + 7.5x + x2 = 19.0625 Factor a perfect square on the left side: (x + 3.75)(x + 3.75) = 19.0625 Calculate the square root of the right side: 4.366062299 Break this problem into two subproblems by setting (x + 3.75) equal to 4.366062299 and -4.366062299.Subproblem 1
x + 3.75 = 4.366062299 Simplifying x + 3.75 = 4.366062299 Reorder the terms: 3.75 + x = 4.366062299 Solving 3.75 + x = 4.366062299 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.75' to each side of the equation. 3.75 + -3.75 + x = 4.366062299 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + x = 4.366062299 + -3.75 x = 4.366062299 + -3.75 Combine like terms: 4.366062299 + -3.75 = 0.616062299 x = 0.616062299 Simplifying x = 0.616062299Subproblem 2
x + 3.75 = -4.366062299 Simplifying x + 3.75 = -4.366062299 Reorder the terms: 3.75 + x = -4.366062299 Solving 3.75 + x = -4.366062299 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.75' to each side of the equation. 3.75 + -3.75 + x = -4.366062299 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + x = -4.366062299 + -3.75 x = -4.366062299 + -3.75 Combine like terms: -4.366062299 + -3.75 = -8.116062299 x = -8.116062299 Simplifying x = -8.116062299Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.616062299, -8.116062299}Solution
x = {0.616062299, -8.116062299}
| 2(-6v-3)=90 | | 4(8x+12)=5 | | 40x+7-8x=0 | | 56-n=8 | | -5/8(Y-16) | | 150+1x+1x=1500 | | -7.3+1.5x=.2 | | 5x/12=17/23 | | 3+4=3+5 | | -7(1-5z)=32 | | 3lnx=4 | | 5-3x=-9-x | | 13=6x+7x | | 10-3x=14+2x | | (-7+4x+2)=(-6+3x) | | m-5+6m=-1+m+2m | | 27+7y=-8(6y+4) | | 2(10x+4)=27 | | (2z+3)/3+(3z-4)/6=(z-2) | | not^2-13n+42=0 | | 9x^5-64x=0 | | -6+4x-28=0 | | 6x+8=3(3x)-1x | | 4y+x=140 | | 20=-7+6(b-3) | | 6x+8=3(3x) | | 3(5x-2)-12=54 | | 5y-6=26-2y | | 30-5(3a-5)=56a | | sin(6x)/sin(7x) | | 2(4x+7)=7 | | 6-4=5.6 |