-7(x)=3x^2+10

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Solution for -7(x)=3x^2+10 equation: 


Simplifying
-7(x) = 3x2 + 10

Reorder the terms:
-7x = 10 + 3x2

Solving
-7x = 10 + 3x2

Solving for variable 'x'.

Reorder the terms:
-10 + -7x + -3x2 = 10 + 3x2 + -10 + -3x2

Reorder the terms:
-10 + -7x + -3x2 = 10 + -10 + 3x2 + -3x2

Combine like terms: 10 + -10 = 0
-10 + -7x + -3x2 = 0 + 3x2 + -3x2
-10 + -7x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-10 + -7x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(10 + 7x + 3x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(10 + 7x + 3x2)' equal to zero and attempt to solve:

Simplifying
10 + 7x + 3x2 = 0

Solving
10 + 7x + 3x2 = 0

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

Divide each side by '3'.
3.333333333 + 2.333333333x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + 2.333333333x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + 2.333333333x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + 2.333333333x + x2 = 0 + -3.333333333
2.333333333x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
2.333333333x + x2 = -3.333333333

The x term is 2.333333333x.  Take half its coefficient (1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
2.333333333x + 1.361111112 + x2 = -3.333333333 + 1.361111112

Reorder the terms:
1.361111112 + 2.333333333x + x2 = -3.333333333 + 1.361111112

Combine like terms: -3.333333333 + 1.361111112 = -1.972222221
1.361111112 + 2.333333333x + x2 = -1.972222221

Factor a perfect square on the left side:
(x + 1.166666667)(x + 1.166666667) = -1.972222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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