1.44=x^2+70x

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Solution for 1.44=x^2+70x equation:


Simplifying
1.44 = x2 + 70x

Reorder the terms:
1.44 = 70x + x2

Solving
1.44 = 70x + x2

Solving for variable 'x'.

Reorder the terms:
1.44 + -70x + -1x2 = 70x + -70x + x2 + -1x2

Combine like terms: 70x + -70x = 0
1.44 + -70x + -1x2 = 0 + x2 + -1x2
1.44 + -70x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1.44 + -70x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-1.44 + 70x + x2 = 0

Move the constant term to the right:

Add '1.44' to each side of the equation.
-1.44 + 70x + 1.44 + x2 = 0 + 1.44

Reorder the terms:
-1.44 + 1.44 + 70x + x2 = 0 + 1.44

Combine like terms: -1.44 + 1.44 = 0.00
0.00 + 70x + x2 = 0 + 1.44
70x + x2 = 0 + 1.44

Combine like terms: 0 + 1.44 = 1.44
70x + x2 = 1.44

The x term is 70x.  Take half its coefficient (35).
Square it (1225) and add it to both sides.

Add '1225' to each side of the equation.
70x + 1225 + x2 = 1.44 + 1225

Reorder the terms:
1225 + 70x + x2 = 1.44 + 1225

Combine like terms: 1.44 + 1225 = 1226.44
1225 + 70x + x2 = 1226.44

Factor a perfect square on the left side:
(x + 35)(x + 35) = 1226.44

Calculate the square root of the right side: 35.020565387

Break this problem into two subproblems by setting 
(x + 35) equal to 35.020565387 and -35.020565387.

Subproblem 1

x + 35 = 35.020565387 Simplifying x + 35 = 35.020565387 Reorder the terms: 35 + x = 35.020565387 Solving 35 + x = 35.020565387 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + x = 35.020565387 + -35 Combine like terms: 35 + -35 = 0 0 + x = 35.020565387 + -35 x = 35.020565387 + -35 Combine like terms: 35.020565387 + -35 = 0.020565387 x = 0.020565387 Simplifying x = 0.020565387

Subproblem 2

x + 35 = -35.020565387 Simplifying x + 35 = -35.020565387 Reorder the terms: 35 + x = -35.020565387 Solving 35 + x = -35.020565387 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + x = -35.020565387 + -35 Combine like terms: 35 + -35 = 0 0 + x = -35.020565387 + -35 x = -35.020565387 + -35 Combine like terms: -35.020565387 + -35 = -70.020565387 x = -70.020565387 Simplifying x = -70.020565387

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.020565387, -70.020565387}

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