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Simplifying
7x + 5 = 1.4x2 + 7x + -270
Reorder the terms:
5 + 7x = 1.4x2 + 7x + -270
Reorder the terms:
5 + 7x = -270 + 7x + 1.4x2
Add '-7x' to each side of the equation.
5 + 7x + -7x = -270 + 7x + -7x + 1.4x2
Combine like terms: 7x + -7x = 0
5 + 0 = -270 + 7x + -7x + 1.4x2
5 = -270 + 7x + -7x + 1.4x2
Combine like terms: 7x + -7x = 0
5 = -270 + 0 + 1.4x2
5 = -270 + 1.4x2
Solving
5 = -270 + 1.4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1.4x2' to each side of the equation.
5 + -1.4x2 = -270 + 1.4x2 + -1.4x2
Combine like terms: 1.4x2 + -1.4x2 = 0.0
5 + -1.4x2 = -270 + 0.0
5 + -1.4x2 = -270
Add '-5' to each side of the equation.
5 + -5 + -1.4x2 = -270 + -5
Combine like terms: 5 + -5 = 0
0 + -1.4x2 = -270 + -5
-1.4x2 = -270 + -5
Combine like terms: -270 + -5 = -275
-1.4x2 = -275
Divide each side by '-1.4'.
x2 = 196.4285714
Simplifying
x2 = 196.4285714
Take the square root of each side:
x = {-14.015297764, 14.015297764}
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