If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6(4x + 7) * 9(8x + 4) = 400 Reorder the terms: 6(7 + 4x) * 9(8x + 4) = 400 Reorder the terms: 6(7 + 4x) * 9(4 + 8x) = 400 Reorder the terms for easier multiplication: 6 * 9(7 + 4x)(4 + 8x) = 400 Multiply 6 * 9 54(7 + 4x)(4 + 8x) = 400 Multiply (7 + 4x) * (4 + 8x) 54(7(4 + 8x) + 4x * (4 + 8x)) = 400 54((4 * 7 + 8x * 7) + 4x * (4 + 8x)) = 400 54((28 + 56x) + 4x * (4 + 8x)) = 400 54(28 + 56x + (4 * 4x + 8x * 4x)) = 400 54(28 + 56x + (16x + 32x2)) = 400 Combine like terms: 56x + 16x = 72x 54(28 + 72x + 32x2) = 400 (28 * 54 + 72x * 54 + 32x2 * 54) = 400 (1512 + 3888x + 1728x2) = 400 Solving 1512 + 3888x + 1728x2 = 400 Solving for variable 'x'. Reorder the terms: 1512 + -400 + 3888x + 1728x2 = 400 + -400 Combine like terms: 1512 + -400 = 1112 1112 + 3888x + 1728x2 = 400 + -400 Combine like terms: 400 + -400 = 0 1112 + 3888x + 1728x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(139 + 486x + 216x2) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(139 + 486x + 216x2)' equal to zero and attempt to solve: Simplifying 139 + 486x + 216x2 = 0 Solving 139 + 486x + 216x2 = 0 Begin completing the square. Divide all terms by 216 the coefficient of the squared term: Divide each side by '216'. 0.6435185185 + 2.25x + x2 = 0 Move the constant term to the right: Add '-0.6435185185' to each side of the equation. 0.6435185185 + 2.25x + -0.6435185185 + x2 = 0 + -0.6435185185 Reorder the terms: 0.6435185185 + -0.6435185185 + 2.25x + x2 = 0 + -0.6435185185 Combine like terms: 0.6435185185 + -0.6435185185 = 0.0000000000 0.0000000000 + 2.25x + x2 = 0 + -0.6435185185 2.25x + x2 = 0 + -0.6435185185 Combine like terms: 0 + -0.6435185185 = -0.6435185185 2.25x + x2 = -0.6435185185 The x term is 2.25x. Take half its coefficient (1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. 2.25x + 1.265625 + x2 = -0.6435185185 + 1.265625 Reorder the terms: 1.265625 + 2.25x + x2 = -0.6435185185 + 1.265625 Combine like terms: -0.6435185185 + 1.265625 = 0.6221064815 1.265625 + 2.25x + x2 = 0.6221064815 Factor a perfect square on the left side: (x + 1.125)(x + 1.125) = 0.6221064815 Calculate the square root of the right side: 0.78873727 Break this problem into two subproblems by setting (x + 1.125) equal to 0.78873727 and -0.78873727.Subproblem 1
x + 1.125 = 0.78873727 Simplifying x + 1.125 = 0.78873727 Reorder the terms: 1.125 + x = 0.78873727 Solving 1.125 + x = 0.78873727 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.125' to each side of the equation. 1.125 + -1.125 + x = 0.78873727 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + x = 0.78873727 + -1.125 x = 0.78873727 + -1.125 Combine like terms: 0.78873727 + -1.125 = -0.33626273 x = -0.33626273 Simplifying x = -0.33626273Subproblem 2
x + 1.125 = -0.78873727 Simplifying x + 1.125 = -0.78873727 Reorder the terms: 1.125 + x = -0.78873727 Solving 1.125 + x = -0.78873727 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.125' to each side of the equation. 1.125 + -1.125 + x = -0.78873727 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + x = -0.78873727 + -1.125 x = -0.78873727 + -1.125 Combine like terms: -0.78873727 + -1.125 = -1.91373727 x = -1.91373727 Simplifying x = -1.91373727Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.33626273, -1.91373727}Solution
x = {-0.33626273, -1.91373727}
| 4-3(t+2)+5=5(t-1)-7t | | 3x+2=x+2+3x | | 9-4w=-1 | | .75x-5=16 | | a=4(2+8a)-8 | | 3t-12=60 | | 3x+2=x-2+3x | | 6x+18+4=-10 | | 2y(4+6)=20 | | 84-51=14p | | -2k+4k-2+2k= | | y+9=-9(x-6) | | y=6x^2+7 | | 1-1.7x-(0.8x+2)=3.4 | | 1/4=1/3+1/x | | 4(2x-6)=8(x-6) | | 2zy-z(3.14)=x-12cos(h)-y-2.23 | | 0.1x=0.2(+2) | | t^2+50t-150=0 | | -17+(18+x)= | | 10x-2y=3 | | 8x+3=4(7x+3) | | 7x-8=3x+2(2x-4) | | t^2+50t=150 | | 12x-106=-6x-16 | | t^2+50t=0 | | 2-2x=64+c | | 6(4x+7)+9(8x+4)=400 | | v(x)=15 | | -6(1+3n)=-36-8n | | 9-3x+10x-4= | | -7.8=1.56 |