4x^2+6x-3=9-7x

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Solution for 4x^2+6x-3=9-7x equation: 


Simplifying
4x2 + 6x + -3 = 9 + -7x

Reorder the terms:
-3 + 6x + 4x2 = 9 + -7x

Solving
-3 + 6x + 4x2 = 9 + -7x

Solving for variable 'x'.

Reorder the terms:
-3 + -9 + 6x + 7x + 4x2 = 9 + -7x + -9 + 7x

Combine like terms: -3 + -9 = -12
-12 + 6x + 7x + 4x2 = 9 + -7x + -9 + 7x

Combine like terms: 6x + 7x = 13x
-12 + 13x + 4x2 = 9 + -7x + -9 + 7x

Reorder the terms:
-12 + 13x + 4x2 = 9 + -9 + -7x + 7x

Combine like terms: 9 + -9 = 0
-12 + 13x + 4x2 = 0 + -7x + 7x
-12 + 13x + 4x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
-12 + 13x + 4x2 = 0

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


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

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 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 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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 = {-4, 0.75}

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