If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 12x = -14 Reorder the terms: 12x + 2x2 = -14 Solving 12x + 2x2 = -14 Solving for variable 'x'. Reorder the terms: 14 + 12x + 2x2 = -14 + 14 Combine like terms: -14 + 14 = 0 14 + 12x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(7 + 6x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + 6x + x2)' equal to zero and attempt to solve: Simplifying 7 + 6x + x2 = 0 Solving 7 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + 6x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + 6x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6x + x2 = 0 + -7 6x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 6x + x2 = -7 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -7 + 9 Reorder the terms: 9 + 6x + x2 = -7 + 9 Combine like terms: -7 + 9 = 2 9 + 6x + x2 = 2 Factor a perfect square on the left side: (x + 3)(x + 3) = 2 Calculate the square root of the right side: 1.414213562 Break this problem into two subproblems by setting (x + 3) equal to 1.414213562 and -1.414213562.Subproblem 1
x + 3 = 1.414213562 Simplifying x + 3 = 1.414213562 Reorder the terms: 3 + x = 1.414213562 Solving 3 + x = 1.414213562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 1.414213562 + -3 Combine like terms: 3 + -3 = 0 0 + x = 1.414213562 + -3 x = 1.414213562 + -3 Combine like terms: 1.414213562 + -3 = -1.585786438 x = -1.585786438 Simplifying x = -1.585786438Subproblem 2
x + 3 = -1.414213562 Simplifying x + 3 = -1.414213562 Reorder the terms: 3 + x = -1.414213562 Solving 3 + x = -1.414213562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = -1.414213562 + -3 Combine like terms: 3 + -3 = 0 0 + x = -1.414213562 + -3 x = -1.414213562 + -3 Combine like terms: -1.414213562 + -3 = -4.414213562 x = -4.414213562 Simplifying x = -4.414213562Solution
The solution to the problem is based on the solutions from the subproblems. x = {-1.585786438, -4.414213562}Solution
x = {-1.585786438, -4.414213562}
| 5=6-a | | y=-1.25x+125 | | -x/6=-13 | | 8x-7=35 | | 2.50x+.60=.30 | | gn=-18×1/2n-1 | | 4mpq=6 | | n-15=-27 | | 2p-7+p=13 | | -24+3= | | 8(5x+2)=40x-6 | | 6x+3=x-21 | | 111+145+60+144+40w=540 | | 111+145+60+144+40w=360 | | 2/3x-7=-16 | | 3x-4=1/2(10x-6)-1 | | -30+12x=8x+6 | | 5(2f+6)-75=10(f-4.5) | | 7x+5=7x-7 | | .40c-.33=1.66 | | x-35=2/7x | | lx+8l=32 | | 2(4x-2)=x+11+2x | | 5+x=-25 | | 8(3-5r)=184 | | 6n= 2 | | (6/x)-1 | | -17=3-6m-8 | | 8-7x-2=-25+4x-13 | | 10=5x/2x-3 | | 5E-08x= | | 7q+8q-3q= |