If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (2x + 4)(7x + 14) = 180 Reorder the terms: (4 + 2x)(7x + 14) = 180 Reorder the terms: (4 + 2x)(14 + 7x) = 180 Multiply (4 + 2x) * (14 + 7x) (4(14 + 7x) + 2x * (14 + 7x)) = 180 ((14 * 4 + 7x * 4) + 2x * (14 + 7x)) = 180 ((56 + 28x) + 2x * (14 + 7x)) = 180 (56 + 28x + (14 * 2x + 7x * 2x)) = 180 (56 + 28x + (28x + 14x2)) = 180 Combine like terms: 28x + 28x = 56x (56 + 56x + 14x2) = 180 Solving 56 + 56x + 14x2 = 180 Solving for variable 'x'. Reorder the terms: 56 + -180 + 56x + 14x2 = 180 + -180 Combine like terms: 56 + -180 = -124 -124 + 56x + 14x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -124 + 56x + 14x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-62 + 28x + 7x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-62 + 28x + 7x2)' equal to zero and attempt to solve: Simplifying -62 + 28x + 7x2 = 0 Solving -62 + 28x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. -8.857142857 + 4x + x2 = 0 Move the constant term to the right: Add '8.857142857' to each side of the equation. -8.857142857 + 4x + 8.857142857 + x2 = 0 + 8.857142857 Reorder the terms: -8.857142857 + 8.857142857 + 4x + x2 = 0 + 8.857142857 Combine like terms: -8.857142857 + 8.857142857 = 0.000000000 0.000000000 + 4x + x2 = 0 + 8.857142857 4x + x2 = 0 + 8.857142857 Combine like terms: 0 + 8.857142857 = 8.857142857 4x + x2 = 8.857142857 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = 8.857142857 + 4 Reorder the terms: 4 + 4x + x2 = 8.857142857 + 4 Combine like terms: 8.857142857 + 4 = 12.857142857 4 + 4x + x2 = 12.857142857 Factor a perfect square on the left side: (x + 2)(x + 2) = 12.857142857 Calculate the square root of the right side: 3.585685828 Break this problem into two subproblems by setting (x + 2) equal to 3.585685828 and -3.585685828.Subproblem 1
x + 2 = 3.585685828 Simplifying x + 2 = 3.585685828 Reorder the terms: 2 + x = 3.585685828 Solving 2 + x = 3.585685828 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 3.585685828 + -2 Combine like terms: 2 + -2 = 0 0 + x = 3.585685828 + -2 x = 3.585685828 + -2 Combine like terms: 3.585685828 + -2 = 1.585685828 x = 1.585685828 Simplifying x = 1.585685828Subproblem 2
x + 2 = -3.585685828 Simplifying x + 2 = -3.585685828 Reorder the terms: 2 + x = -3.585685828 Solving 2 + x = -3.585685828 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -3.585685828 + -2 Combine like terms: 2 + -2 = 0 0 + x = -3.585685828 + -2 x = -3.585685828 + -2 Combine like terms: -3.585685828 + -2 = -5.585685828 x = -5.585685828 Simplifying x = -5.585685828Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.585685828, -5.585685828}Solution
x = {1.585685828, -5.585685828}
| 9(2n+3)=8(4n+4)+5 | | 9y+-6=-51 | | 3(z+14)=84 | | 4/3=8/y | | 21y-15x=12 | | Y=5x^3-20 | | -x+7-x=19-7x | | {x/1.6}=3 | | 2(x+2)+4x=12 | | x^2-2.5x+0.5625=0 | | 5/4=15/x | | 60+30=24 | | x+1.6=9.95 | | 2(f+8)=28 | | -v=8 | | 5n-12=-7 | | y-4.46=8.6 | | -15x+21y=12 | | ln(7x)+ln(5x)=5 | | 2-x/30 | | -38-5x=3x+6(x+3) | | C=1/3nt | | R^3-4r/r^2-16 | | m/-4-2.95 | | x^4+12x^3-64x^2+128x=0 | | 7x+5y+6z=-15 | | 100x^2-5x-4=0 | | Y-6/7y=16 | | -2.6=m/1.6 | | 3.4x-1.7=2.4x+2.3 | | -5(4t-3)+7t=8t-4 | | 7p-5=32 |