7x^2+14x-49=-7

Simple and best practice solution for 7x^2+14x-49=-7 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 7x^2+14x-49=-7 equation:


Simplifying
7x2 + 14x + -49 = -7

Reorder the terms:
-49 + 14x + 7x2 = -7

Solving
-49 + 14x + 7x2 = -7

Solving for variable 'x'.

Reorder the terms:
-49 + 7 + 14x + 7x2 = -7 + 7

Combine like terms: -49 + 7 = -42
-42 + 14x + 7x2 = -7 + 7

Combine like terms: -7 + 7 = 0
-42 + 14x + 7x2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-6 + 2x + x2) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(-6 + 2x + x2)' equal to zero and attempt to solve: Simplifying -6 + 2x + x2 = 0 Solving -6 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '6' to each side of the equation. -6 + 2x + 6 + x2 = 0 + 6 Reorder the terms: -6 + 6 + 2x + x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2x + x2 = 0 + 6 2x + x2 = 0 + 6 Combine like terms: 0 + 6 = 6 2x + x2 = 6 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = 6 + 1 Reorder the terms: 1 + 2x + x2 = 6 + 1 Combine like terms: 6 + 1 = 7 1 + 2x + x2 = 7 Factor a perfect square on the left side: (x + 1)(x + 1) = 7 Calculate the square root of the right side: 2.645751311 Break this problem into two subproblems by setting (x + 1) equal to 2.645751311 and -2.645751311.

Subproblem 1

x + 1 = 2.645751311 Simplifying x + 1 = 2.645751311 Reorder the terms: 1 + x = 2.645751311 Solving 1 + x = 2.645751311 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 2.645751311 + -1 Combine like terms: 1 + -1 = 0 0 + x = 2.645751311 + -1 x = 2.645751311 + -1 Combine like terms: 2.645751311 + -1 = 1.645751311 x = 1.645751311 Simplifying x = 1.645751311

Subproblem 2

x + 1 = -2.645751311 Simplifying x + 1 = -2.645751311 Reorder the terms: 1 + x = -2.645751311 Solving 1 + x = -2.645751311 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -2.645751311 + -1 Combine like terms: 1 + -1 = 0 0 + x = -2.645751311 + -1 x = -2.645751311 + -1 Combine like terms: -2.645751311 + -1 = -3.645751311 x = -3.645751311 Simplifying x = -3.645751311

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.645751311, -3.645751311}

Solution

x = {1.645751311, -3.645751311}

See similar equations:

| 19x+6= | | y=(2x+3)(x+1) | | 2x+5x-3=7x-21 | | 4/8=8/11a | | 6+y+2y=-9 | | 0.6(x+1)=0.2(4x-2) | | 9=-2y-1+y | | ln(4c)+ln(c)=9 | | x+62=143 | | ln(2)+ln(x)=12 | | 8x^2-16x-65=-10 | | 2m*5n= | | 3xy-2x=5 | | 5y=(8x+5) | | 4.5(2.66+-1.33)+6y=12 | | 8b^2+2b^2-3=0 | | p=15+-2y | | ln(4c)+ln(x)=9 | | (3x+1)=(6x-4) | | y=(5x+3)(x-2) | | 10-12-2w=3w-3 | | 5x-3x-3=9 | | p=15-2y | | 4i/4-i | | (2x-1)(x+5)+(2x-1)(x-2)=0 | | r+3.5=6 | | 6k-3=2k/13 | | -7=7/9w | | y=(m-5)(m-2) | | 20=-5/6u | | 18y+4x=-18 | | y=-3+27 |

Equations solver categories