Show that x = -2 is a solution of 3x² + 13x + 14 = 0
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The figure is shown below
From the figure
Angle 150 degree and angle p forms angles on a straight
Since the sum of angles on a straight line equals 180 degrees
Hence
Solve for p in the equation
Hence, p = 30
From the figure
Angle p and angle q are vertically opposite angles
Since vertically opposite angles are equal then
Hence, q = 30
Applying the rule of angles on a straight line
This implies
Substitute q = 30 into the equation
Solve for w
Hence, w = 90
