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Simplifying
3x2 + 4x + -5 + -7x2 + -4x + 8 = 0
Reorder the terms:
-5 + 8 + 4x + -4x + 3x2 + -7x2 = 0
Combine like terms: -5 + 8 = 3
3 + 4x + -4x + 3x2 + -7x2 = 0
Combine like terms: 4x + -4x = 0
3 + 0 + 3x2 + -7x2 = 0
3 + 3x2 + -7x2 = 0
Combine like terms: 3x2 + -7x2 = -4x2
3 + -4x2 = 0
Solving
3 + -4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -4x2 = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -4x2 = 0 + -3
-4x2 = 0 + -3
Combine like terms: 0 + -3 = -3
-4x2 = -3
Divide each side by '-4'.
x2 = 0.75
Simplifying
x2 = 0.75
Take the square root of each side:
x = {-0.866025404, 0.866025404}
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