(6x^2+5x)-3+(x^2)-9=

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Solution for (6x^2+5x)-3+(x^2)-9= equation:


Simplifying
(6x2 + 5x) + -3 + (x2) + -9 = 0

Reorder the terms:
(5x + 6x2) + -3 + (x2) + -9 = 0

Remove parenthesis around (5x + 6x2)
5x + 6x2 + -3 + (x2) + -9 = 0
5x + 6x2 + -3 + x2 + -9 = 0

Reorder the terms:
-3 + -9 + 5x + 6x2 + x2 = 0

Combine like terms: -3 + -9 = -12
-12 + 5x + 6x2 + x2 = 0

Combine like terms: 6x2 + x2 = 7x2
-12 + 5x + 7x2 = 0

Solving
-12 + 5x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-12 + -7x)(1 + -1x) = 0

Subproblem 1

Set the factor '(-12 + -7x)' equal to zero and attempt to solve: Simplifying -12 + -7x = 0 Solving -12 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -7x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = 0 + 12 -7x = 0 + 12 Combine like terms: 0 + 12 = 12 -7x = 12 Divide each side by '-7'. x = -1.714285714 Simplifying x = -1.714285714

Subproblem 2

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {-1.714285714, 1}

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