63x^2-24=-66x

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Solution for 63x^2-24=-66x equation:


Simplifying
63x2 + -24 = -66x

Reorder the terms:
-24 + 63x2 = -66x

Solving
-24 + 63x2 = -66x

Solving for variable 'x'.

Reorder the terms:
-24 + 66x + 63x2 = -66x + 66x

Combine like terms: -66x + 66x = 0
-24 + 66x + 63x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + 22x + 21x2) = 0

Factor a trinomial.
3((-4 + -3x)(2 + -7x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 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 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333

Subproblem 2

Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857

Solution

x = {-1.333333333, 0.2857142857}

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