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Simplifying
-3x2 + 4x + -9 = 4x + -7x2
Reorder the terms:
-9 + 4x + -3x2 = 4x + -7x2
Add '-4x' to each side of the equation.
-9 + 4x + -4x + -3x2 = 4x + -4x + -7x2
Combine like terms: 4x + -4x = 0
-9 + 0 + -3x2 = 4x + -4x + -7x2
-9 + -3x2 = 4x + -4x + -7x2
Combine like terms: 4x + -4x = 0
-9 + -3x2 = 0 + -7x2
-9 + -3x2 = -7x2
Solving
-9 + -3x2 = -7x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7x2' to each side of the equation.
-9 + -3x2 + 7x2 = -7x2 + 7x2
Combine like terms: -3x2 + 7x2 = 4x2
-9 + 4x2 = -7x2 + 7x2
Combine like terms: -7x2 + 7x2 = 0
-9 + 4x2 = 0
Add '9' to each side of the equation.
-9 + 9 + 4x2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + 4x2 = 0 + 9
4x2 = 0 + 9
Combine like terms: 0 + 9 = 9
4x2 = 9
Divide each side by '4'.
x2 = 2.25
Simplifying
x2 = 2.25
Take the square root of each side:
x = {-1.5, 1.5}
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