36x^2+9x+36=63

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Solution for 36x^2+9x+36=63 equation:


Simplifying
36x2 + 9x + 36 = 63

Reorder the terms:
36 + 9x + 36x2 = 63

Solving
36 + 9x + 36x2 = 63

Solving for variable 'x'.

Reorder the terms:
36 + -63 + 9x + 36x2 = 63 + -63

Combine like terms: 36 + -63 = -27
-27 + 9x + 36x2 = 63 + -63

Combine like terms: 63 + -63 = 0
-27 + 9x + 36x2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(-3 + x + 4x2) = 0

Factor a trinomial.
9((-1 + -1x)(3 + -4x)) = 0

Ignore the factor 9.

Subproblem 1

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

Subproblem 2

Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75

Solution

x = {-1, 0.75}

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