6=7x^2+24x-10

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Solution for 6=7x^2+24x-10 equation: 


Simplifying
6 = 7x2 + 24x + -10

Reorder the terms:
6 = -10 + 24x + 7x2

Solving
6 = -10 + 24x + 7x2

Solving for variable 'x'.

Combine like terms: 6 + 10 = 16
16 + -24x + -7x2 = -10 + 24x + 7x2 + 10 + -24x + -7x2

Reorder the terms:
16 + -24x + -7x2 = -10 + 10 + 24x + -24x + 7x2 + -7x2

Combine like terms: -10 + 10 = 0
16 + -24x + -7x2 = 0 + 24x + -24x + 7x2 + -7x2
16 + -24x + -7x2 = 24x + -24x + 7x2 + -7x2

Combine like terms: 24x + -24x = 0
16 + -24x + -7x2 = 0 + 7x2 + -7x2
16 + -24x + -7x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
16 + -24x + -7x2 = 0

Factor a trinomial.
(4 + -7x)(4 + x) = 0


Subproblem 1
Set the factor '(4 + -7x)' equal to zero and attempt to solve:

Simplifying
4 + -7x = 0

Solving
4 + -7x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 0 + -4
-7x = 0 + -4

Combine like terms: 0 + -4 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {0.5714285714, -4}

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