If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 14 = (2x + 2)(2x + -8) Reorder the terms: 14 = (2 + 2x)(2x + -8) Reorder the terms: 14 = (2 + 2x)(-8 + 2x) Multiply (2 + 2x) * (-8 + 2x) 14 = (2(-8 + 2x) + 2x * (-8 + 2x)) 14 = ((-8 * 2 + 2x * 2) + 2x * (-8 + 2x)) 14 = ((-16 + 4x) + 2x * (-8 + 2x)) 14 = (-16 + 4x + (-8 * 2x + 2x * 2x)) 14 = (-16 + 4x + (-16x + 4x2)) Combine like terms: 4x + -16x = -12x 14 = (-16 + -12x + 4x2) Solving 14 = -16 + -12x + 4x2 Solving for variable 'x'. Combine like terms: 14 + 16 = 30 30 + 12x + -4x2 = -16 + -12x + 4x2 + 16 + 12x + -4x2 Reorder the terms: 30 + 12x + -4x2 = -16 + 16 + -12x + 12x + 4x2 + -4x2 Combine like terms: -16 + 16 = 0 30 + 12x + -4x2 = 0 + -12x + 12x + 4x2 + -4x2 30 + 12x + -4x2 = -12x + 12x + 4x2 + -4x2 Combine like terms: -12x + 12x = 0 30 + 12x + -4x2 = 0 + 4x2 + -4x2 30 + 12x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 30 + 12x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(15 + 6x + -2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + 6x + -2x2)' equal to zero and attempt to solve: Simplifying 15 + 6x + -2x2 = 0 Solving 15 + 6x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -7.5 + -3x + x2 = 0 Move the constant term to the right: Add '7.5' to each side of the equation. -7.5 + -3x + 7.5 + x2 = 0 + 7.5 Reorder the terms: -7.5 + 7.5 + -3x + x2 = 0 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + -3x + x2 = 0 + 7.5 -3x + x2 = 0 + 7.5 Combine like terms: 0 + 7.5 = 7.5 -3x + x2 = 7.5 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = 7.5 + 2.25 Reorder the terms: 2.25 + -3x + x2 = 7.5 + 2.25 Combine like terms: 7.5 + 2.25 = 9.75 2.25 + -3x + x2 = 9.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = 9.75 Calculate the square root of the right side: 3.122498999 Break this problem into two subproblems by setting (x + -1.5) equal to 3.122498999 and -3.122498999.Subproblem 1
x + -1.5 = 3.122498999 Simplifying x + -1.5 = 3.122498999 Reorder the terms: -1.5 + x = 3.122498999 Solving -1.5 + x = 3.122498999 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = 3.122498999 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = 3.122498999 + 1.5 x = 3.122498999 + 1.5 Combine like terms: 3.122498999 + 1.5 = 4.622498999 x = 4.622498999 Simplifying x = 4.622498999Subproblem 2
x + -1.5 = -3.122498999 Simplifying x + -1.5 = -3.122498999 Reorder the terms: -1.5 + x = -3.122498999 Solving -1.5 + x = -3.122498999 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = -3.122498999 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = -3.122498999 + 1.5 x = -3.122498999 + 1.5 Combine like terms: -3.122498999 + 1.5 = -1.622498999 x = -1.622498999 Simplifying x = -1.622498999Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.622498999, -1.622498999}Solution
x = {4.622498999, -1.622498999}
| 8(3+5n)=5(6n+4)+14 | | 5-4/k-1/k^2=0 | | Y-2Z+36=18Y-15Z-44 | | 8x-68=4x+8 | | -28-25x=-22 | | 150x+(150)(1-x)(.6)=145 | | -7(2-3x)=238 | | 2Z+2Y-40=0 | | 7-x=(4x+9)(x-1) | | x=c/d | | x(0.06)+(4000-x)(0.08)=280 | | (q+9)(q+4)=0 | | 2(10+12m)-10=12(m+8)-10 | | 5x^2-22x+2=0 | | (1.0015)24= | | 6x+4[-(3x-7)]=15 | | 4x-69=x | | 3x+26-2x=9+5x-7 | | -2x-2+3x=5 | | y^2-17y+71=0 | | 25+0.45n=-n+1 | | 24m=.288 | | 3(a+2)-8=5a-18 | | -2.2+0.4w=0.2(w+10) | | 5c+4c+1c= | | 2w/4=2w | | (b-3)(b-5)=0 | | 8+6370739659389738582089034= | | 3^2-3x=1/27 | | -2x-9y=-25-4x-9y=-23 | | 64-2x=8-10x | | -8-x=x-14-n |